Edmund Yik Man CHIANG
蒋翼迈
PhD in Mathematics
University of London, 1991

Professor
Department of Mathematics



(852) 2358 7441
machiang@ust.hk
Room 3481
Personal Web

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Google Scholar
cImFOsAAAAAJ

ORCID
0000-0001-5487-4625

Scopus ID
7201593503




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Complex function theory
Difference equations
Orthogonal polynomials



Publications

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All Years 47 2022 0 2021 2 2020 0 2019 1 2018 2 2017 2 2016 40

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Expand All Collapse All


2021 2

Resolving Singularities and Monodromy Reduction of Fuchsian Connections
Annales Henri Poincaré, 27 April 2021
Chiang, Yik Man; Ching, Avery; Tsang, Chin-Yin Article
Wiman–Valiron Theory for a Polynomial Series Based on the Askey–Wilson Operator
Constructive Approximation, 12 March 2021
Cheng, Kam Hang; Chiang, Yik Man Article

2019 1

Galoisian Approach to Complex Oscillation Theory of Some Hill Equations
Mathematica Scandinavica, v. 124, (1), January 2019, p. 102-131
Chiang, Yik Man; Yu, Guo-fu Article

2018 2

Nevanlinna Theory of the Askey–wilson Divided Difference Operator
Advances in Mathematics, v. 329, April 2018, p. 217-272
Chiang, Yik Man; Feng, shaoji Article
Symmetry of the Darboux equation
Kumamoto Journal of Mathematics, v. 31, January 2018, p. 15-48
Chiang, Yik Man; Tsang, Chiu Yin; Ching, Avery Article

2017 2

Difference Nevanlinna Theories With Vanishing and Infinite Periods
Michigan Mathematical Journal, v. 66, (3), August 2017, p. 451-480
Chiang, Yik Man; Luo, Xudan Article
Nevanlinna Theory of the Wilson Divided-difference Operator
Annales Academiae Scientiarum Fennicae Mathematica, v. 42, (1), 2017, p. 175-209
Cheng, Kam Hang; Chiang, Yik-Man Article

2016 6

On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman–Valiron Estimate
Constructive Approximation, v. 44, (3), December 2016, p. 313-326
Chiang, Yik Man; Feng, Shao-Ji Article
A Galoisian Approach to Complex Oscillation Theory
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Applications, Orlando, Florida, 1-5 July, 2016
Chiang, Yik Man; Yu, Guofu Conference paper
Complex Oscillation Theory and Semi-finite Gap Problems
Chinese-Finnish Workshop on Complex Analysis, University of Eastern Finland, 22-24 August 2016
Luo, Xudan; Chiang, Yik Man Conference paper
Galoisian Approach to Complex Oscillation of Hill's Eqauations
Random Matrices EurAsia 2016, University of Macau, 8-10 July 2016
Yu, Guofu; Chiang, Yik Man Conference paper
Galoisian Approach to Complex Oscillation Theory
International Conference on Applied Mathematics, Hong Kong, City University of Hong Kong, May 30 - June 2, 2016
Chiang, Yik Man; Yu, Guofu Conference paper
When Does a Formal Finite-difference Expansion Become Real?
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Application (contributed session), Orlando, Florida, 1-5 July 2016
Feng, Shaoji; Chiang, Yik Man Conference paper

2014 1

Estimates on the growth of meromorphic solutions of linear differential equations with density conditions
Reports and Studies in Forestry and Natural Sciences, v. 14, p. 45-55
Chiang, Yik Man Conference paper

2012 1

On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, v. 142A, (3), June 2012, p. 449-477
Chiang, Yik Man; Yu, Kit Wing Article

2011 1

Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials
Journal für die reine und angewandte Mathematik, v. 651, February 2011, p. 127-164
Chiang, Yik-Man; Yu, Kit-Wing Article

2010 1

Eigen-solutions of Biconfluent Heun equation with respect to a complex weight
Colloquium on Jordan Theory and Analysis, 8-12 April 2010
Chiang, Yik Man Conference paper

2009 3

On the Growth of Logarithmic Differences, Difference Quotients and Logarithmic Derivatives of Meromorphic Functions
Transactions of the American Mathematical Society, v. 361, (7), July 2009, p. 3767-3791
Chiang, Yik-Man; Feng, Shao-Ji Article
A q-deformation of classical Nevanlinna theory
International Conference on Complex Analysis and Related Topics, 20-23 August 2009, Beijing
Chiang, Yik Man Conference paper
A q-deformation of Nevanlinna Theory
Conference on Value Distribution Theory and Complex Geometry, 27-30 July 2009
Chiang, Yik Man Conference paper

2008 2

On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Ramanujan Journal, v. 16, (1), May 2008, p. 105-129
Chiang, Yik-Man; Feng, Shao-Ji Article
Malmquist-type theorems for second-order ODEs
International Conference on Nonlinear Waves: Theory and Applications, Beijing, China, organised by M. Ablowitz, D-Y. Hsieh and J. Yang, 9-12 June 2008
Chiang, Yik-Man Conference paper

2007 2

On The Nevanlinna Order Of Lommel And Struve Functions And Complex Differential Equations
The 9th International Conference on Special Functions, Orthogonal Polynomials and their Applications, Marseille, France, organized by G. Valent, 2-6 July 2007 (30 minutes talk)
Chiang, Yik-Man Conference paper
On the Nevanlinna Order of Lommel, Struve Functions and Complex Differential Equations
1st Joint Meeting of American and the Newzealand Mathematical Societies, Special session on Special Functions and Orthogonal Polynomials, Victoria Univ. of Wellington, organized by D. Dominici, O. Warnaar, S. Cooper, 12-15 December 2007 (25 minutes invited talk)
Chiang, Yik-Man Conference paper

2006 5

Difference independence of the Riemann zeta function
Acta Arithmetica, v. 125, (4), 2006, p. 317-329
Chiang, Yik-Man; Feng, Shao-Ji Article
On the Nevanlinna order of meromorphic solutions to linear analytic difference equations
Studies in applied mathematics, v. 116, (3), April 2006, p. 257-287
Chiang, YM; Ruijsenaars, Simon N.M. Article
On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials
Canadian Journal of Mathematics=Journal canadien de mathématiques, v. 58, (4), August 2006, p. 726-767
Chiang, Yik-Man; Ismail, Mourad E.H. Article
Estimates of difference operators in the complex plane
The Painleve Equations and Monodromy Problems: Recent Developments, Newton Institute, Cambridge September 2006
Chiang, Yik-Man Conference paper
Structural results of orthogonal polynomials that generalize Lommel's polynomials
ICM06 satelite meeting: 'Recent Trends in Constructive Approximation Theory', Univ. Carlos III de Madrid
Chiang, Yik-Man Conference paper

2005 2

On the growth of entire solutions to some difference equations
Computational Methods and Function Theory 2005, University of Joensuu, Finland, organized by St. Ruscheweyh, E. B. Saff, O. Martio and I. Laine., 13--17th June 2005,
Chiang, Yik-Man; Feng, S.J. Conference paper
Some Nevanlinna-type estimates related to discrete equations
International Conference on Nonlinear Waves, Integrable Systems, and their Applications, in honor of Mark Ablowitz's sixtieth birthday, University of Colorado Spring, , organized by M. Kruskal, T. Fokas, S. Chakravarty and R. Cascaval, 4--8th June 2005
Chiang, Yik-Man; Feng, S.J. Conference paper

2004 2

Estimates on the growth of meromorphic solutions of linear differential equations
Commentarii mathematici Helvetici, v. 79, (3), September 2004, p. 451-470
Chiang, Yik Man; Hayman, Walter K. Article
On The Location of Complex Zeros of Bessel Functions and Complex Oscillation Theory
American Mathematics Society, Joint Mathematics Meetings, Phoenix, AZ. Special Session in 'Value Distribution Theory in Classical and p-adic Function Theory', organized by A. Escassut, I. Laine and C. C. Yang., January 7-10
Chiang, Yik-Man; Ismail, Mourad E.M. Conference paper

2003 1

On the meromorphic solutions of an equation of Hayman
Journal of mathematical analysis and applications, v. 281, (2), May 2003, p. 663-677
Chiang, Yik Man; Halburd, RG Article

2002 2

Complex oscillation theory and special functions
Mathematical Reports of the Academy of Science of Canada, v. 24, (3), 2002, p. 117-123
Chiang, Yik-Man; Ismail, Mourad E.H. Article
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results
Annales Academiae Scientiarum Fennicae Mathematica, v. 27, (2), 2002, p. 273-290
Chiang, Yik Man; Gao, SA Article

2001 2

On Value Distribution Theory, Complex Oscillation of Differential Equations and Bessel polynomials
Summer School/Seminar in Applied Analysis, July, City University of Hong Kong
Chiang, Yik-Man Conference paper
On Value Distribution Theory, Complex Oscillation of Differential Equations and Special Functions
Summer School in Complex Difference Equations, August, University of Joensuu (Mekrijarvi Research Station)
Chiang, Yik-Man Conference paper

2000 1

On the zero-free solutions of linear periodic differential equations in the complex plane
Results in Mathematics, v. 38, (3-4), November 2000, p. 213-225
Chiang, Yik Man Article

1998 1

Some oscillation results for linear differential equations in the complex plane
Japanese Journal of Mathematics, v. 24, (2), 1998, p. 367-402
Chiang, Yik Man; Laine, Ilpo Article

1997 1

Oscillation results of certain higher order linear differential equations with periodic coefficients in the complex plane
Journal of Mathematical Analysis and Applications, v. 215, (2), November 1997, p. 560-576
Chiang, Yik Man; Wang, Shupei Article

1995 4

Oscillation results for some linear differential equations
Mathematica Scandinavica, v. 77, (2), December 1995, p. 209-224
Chiang, Yik Man; Laine, I.; Wang, SP Article
Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies
Proceedings of the Edinburgh Mathematical Society, v. 38, (1), February 1995, p. 13-34
Chiang, Yik Man Article
Efficient Software Multicast in Wormhole-Routed Unidirectional Multistage Networks
Proceedings of the Seventh IEEE Symposium on Parallel and Distributed Processing, Los Alamitos, CA : IEEE Computer Society Press, 1995, p. 106-113
Chiang, Chi-Ming; Ni, Lionel Ming-Shuan Conference paper
On the complex oscillation of y′′ + (ez ? K)y = 0 and a result of Bank
Proceedings of the Conference Computational Methods and Function Theory 1994 / Edited By: R.M. Ali, S. Ruscheweyh and E.B. Saff. World Scientific, 1995, p. 125-134, Ch. 10. Book series: Series in Approximations and Decompositions, v. 5
Chiang, Yik Man Conference paper

1994 1

Some properties of analytic functions with small schwarzian
Complex Variables Theory and Application, v. 25, 1994, p. 107-118
Chiang, Yik Man Article

1992 1

Some remarks on Lehto's domain constant
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica, v. 17, 1992, p. 285-293
Chiang, Yik Man Article


Expand All Collapse All


Article 2

Resolving Singularities and Monodromy Reduction of Fuchsian Connections
Annales Henri Poincaré, 27 April 2021
Chiang, Yik Man; Ching, Avery; Tsang, Chin-Yin
Wiman–Valiron Theory for a Polynomial Series Based on the Askey–Wilson Operator
Constructive Approximation, 12 March 2021
Cheng, Kam Hang; Chiang, Yik Man


Expand All Collapse All


Article 1

Galoisian Approach to Complex Oscillation Theory of Some Hill Equations
Mathematica Scandinavica, v. 124, (1), January 2019, p. 102-131
Chiang, Yik Man; Yu, Guo-fu


Expand All Collapse All


Article 2

Nevanlinna Theory of the Askey–wilson Divided Difference Operator
Advances in Mathematics, v. 329, April 2018, p. 217-272
Chiang, Yik Man; Feng, shaoji
Symmetry of the Darboux equation
Kumamoto Journal of Mathematics, v. 31, January 2018, p. 15-48
Chiang, Yik Man; Tsang, Chiu Yin; Ching, Avery


Expand All Collapse All


Article 2

Difference Nevanlinna Theories With Vanishing and Infinite Periods
Michigan Mathematical Journal, v. 66, (3), August 2017, p. 451-480
Chiang, Yik Man; Luo, Xudan
Nevanlinna Theory of the Wilson Divided-difference Operator
Annales Academiae Scientiarum Fennicae Mathematica, v. 42, (1), 2017, p. 175-209
Cheng, Kam Hang; Chiang, Yik-Man


Expand All Collapse All


Article 1

On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman–Valiron Estimate
Constructive Approximation, v. 44, (3), December 2016, p. 313-326
Chiang, Yik Man; Feng, Shao-Ji

Conference paper 5

A Galoisian Approach to Complex Oscillation Theory
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Applications, Orlando, Florida, 1-5 July, 2016
Chiang, Yik Man; Yu, Guofu
Complex Oscillation Theory and Semi-finite Gap Problems
Chinese-Finnish Workshop on Complex Analysis, University of Eastern Finland, 22-24 August 2016
Luo, Xudan; Chiang, Yik Man
Galoisian Approach to Complex Oscillation of Hill's Eqauations
Random Matrices EurAsia 2016, University of Macau, 8-10 July 2016
Yu, Guofu; Chiang, Yik Man
Galoisian Approach to Complex Oscillation Theory
International Conference on Applied Mathematics, Hong Kong, City University of Hong Kong, May 30 - June 2, 2016
Chiang, Yik Man; Yu, Guofu
When Does a Formal Finite-difference Expansion Become Real?
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Application (contributed session), Orlando, Florida, 1-5 July 2016
Feng, Shaoji; Chiang, Yik Man


Expand All Collapse All


Conference paper 1

Estimates on the growth of meromorphic solutions of linear differential equations with density conditions
Reports and Studies in Forestry and Natural Sciences, v. 14, p. 45-55
Chiang, Yik Man


Expand All Collapse All


Article 1

On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, v. 142A, (3), June 2012, p. 449-477
Chiang, Yik Man; Yu, Kit Wing


Expand All Collapse All


Article 1

Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials
Journal für die reine und angewandte Mathematik, v. 651, February 2011, p. 127-164
Chiang, Yik-Man; Yu, Kit-Wing


Expand All Collapse All


Conference paper 1

Eigen-solutions of Biconfluent Heun equation with respect to a complex weight
Colloquium on Jordan Theory and Analysis, 8-12 April 2010
Chiang, Yik Man


Expand All Collapse All


Article 1

On the Growth of Logarithmic Differences, Difference Quotients and Logarithmic Derivatives of Meromorphic Functions
Transactions of the American Mathematical Society, v. 361, (7), July 2009, p. 3767-3791
Chiang, Yik-Man; Feng, Shao-Ji

Conference paper 2

A q-deformation of classical Nevanlinna theory
International Conference on Complex Analysis and Related Topics, 20-23 August 2009, Beijing
Chiang, Yik Man
A q-deformation of Nevanlinna Theory
Conference on Value Distribution Theory and Complex Geometry, 27-30 July 2009
Chiang, Yik Man


Expand All Collapse All


Article 1

On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Ramanujan Journal, v. 16, (1), May 2008, p. 105-129
Chiang, Yik-Man; Feng, Shao-Ji

Conference paper 1

Malmquist-type theorems for second-order ODEs
International Conference on Nonlinear Waves: Theory and Applications, Beijing, China, organised by M. Ablowitz, D-Y. Hsieh and J. Yang, 9-12 June 2008
Chiang, Yik-Man


Expand All Collapse All


Conference paper 2

On The Nevanlinna Order Of Lommel And Struve Functions And Complex Differential Equations
The 9th International Conference on Special Functions, Orthogonal Polynomials and their Applications, Marseille, France, organized by G. Valent, 2-6 July 2007 (30 minutes talk)
Chiang, Yik-Man
On the Nevanlinna Order of Lommel, Struve Functions and Complex Differential Equations
1st Joint Meeting of American and the Newzealand Mathematical Societies, Special session on Special Functions and Orthogonal Polynomials, Victoria Univ. of Wellington, organized by D. Dominici, O. Warnaar, S. Cooper, 12-15 December 2007 (25 minutes invited talk)
Chiang, Yik-Man


Expand All Collapse All


Article 3

Difference independence of the Riemann zeta function
Acta Arithmetica, v. 125, (4), 2006, p. 317-329
Chiang, Yik-Man; Feng, Shao-Ji
On the Nevanlinna order of meromorphic solutions to linear analytic difference equations
Studies in applied mathematics, v. 116, (3), April 2006, p. 257-287
Chiang, YM; Ruijsenaars, Simon N.M.
On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials
Canadian Journal of Mathematics=Journal canadien de mathématiques, v. 58, (4), August 2006, p. 726-767
Chiang, Yik-Man; Ismail, Mourad E.H.

Conference paper 2

Estimates of difference operators in the complex plane
The Painleve Equations and Monodromy Problems: Recent Developments, Newton Institute, Cambridge September 2006
Chiang, Yik-Man
Structural results of orthogonal polynomials that generalize Lommel's polynomials
ICM06 satelite meeting: 'Recent Trends in Constructive Approximation Theory', Univ. Carlos III de Madrid
Chiang, Yik-Man


Expand All Collapse All


Conference paper 2

On the growth of entire solutions to some difference equations
Computational Methods and Function Theory 2005, University of Joensuu, Finland, organized by St. Ruscheweyh, E. B. Saff, O. Martio and I. Laine., 13--17th June 2005,
Chiang, Yik-Man; Feng, S.J.
Some Nevanlinna-type estimates related to discrete equations
International Conference on Nonlinear Waves, Integrable Systems, and their Applications, in honor of Mark Ablowitz's sixtieth birthday, University of Colorado Spring, , organized by M. Kruskal, T. Fokas, S. Chakravarty and R. Cascaval, 4--8th June 2005
Chiang, Yik-Man; Feng, S.J.


Expand All Collapse All


Article 1

Estimates on the growth of meromorphic solutions of linear differential equations
Commentarii mathematici Helvetici, v. 79, (3), September 2004, p. 451-470
Chiang, Yik Man; Hayman, Walter K.

Conference paper 1

On The Location of Complex Zeros of Bessel Functions and Complex Oscillation Theory
American Mathematics Society, Joint Mathematics Meetings, Phoenix, AZ. Special Session in 'Value Distribution Theory in Classical and p-adic Function Theory', organized by A. Escassut, I. Laine and C. C. Yang., January 7-10
Chiang, Yik-Man; Ismail, Mourad E.M.


Expand All Collapse All


Article 1

On the meromorphic solutions of an equation of Hayman
Journal of mathematical analysis and applications, v. 281, (2), May 2003, p. 663-677
Chiang, Yik Man; Halburd, RG


Expand All Collapse All


Article 2

Complex oscillation theory and special functions
Mathematical Reports of the Academy of Science of Canada, v. 24, (3), 2002, p. 117-123
Chiang, Yik-Man; Ismail, Mourad E.H.
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results
Annales Academiae Scientiarum Fennicae Mathematica, v. 27, (2), 2002, p. 273-290
Chiang, Yik Man; Gao, SA


Expand All Collapse All


Conference paper 2

On Value Distribution Theory, Complex Oscillation of Differential Equations and Bessel polynomials
Summer School/Seminar in Applied Analysis, July, City University of Hong Kong
Chiang, Yik-Man
On Value Distribution Theory, Complex Oscillation of Differential Equations and Special Functions
Summer School in Complex Difference Equations, August, University of Joensuu (Mekrijarvi Research Station)
Chiang, Yik-Man


Expand All Collapse All


Article 1

On the zero-free solutions of linear periodic differential equations in the complex plane
Results in Mathematics, v. 38, (3-4), November 2000, p. 213-225
Chiang, Yik Man


Expand All Collapse All


Article 1

Some oscillation results for linear differential equations in the complex plane
Japanese Journal of Mathematics, v. 24, (2), 1998, p. 367-402
Chiang, Yik Man; Laine, Ilpo


Expand All Collapse All


Article 1

Oscillation results of certain higher order linear differential equations with periodic coefficients in the complex plane
Journal of Mathematical Analysis and Applications, v. 215, (2), November 1997, p. 560-576
Chiang, Yik Man; Wang, Shupei


Expand All Collapse All


Article 2

Oscillation results for some linear differential equations
Mathematica Scandinavica, v. 77, (2), December 1995, p. 209-224
Chiang, Yik Man; Laine, I.; Wang, SP
Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies
Proceedings of the Edinburgh Mathematical Society, v. 38, (1), February 1995, p. 13-34
Chiang, Yik Man

Conference paper 2

Efficient Software Multicast in Wormhole-Routed Unidirectional Multistage Networks
Proceedings of the Seventh IEEE Symposium on Parallel and Distributed Processing, Los Alamitos, CA : IEEE Computer Society Press, 1995, p. 106-113
Chiang, Chi-Ming; Ni, Lionel Ming-Shuan
On the complex oscillation of y′′ + (ez ? K)y = 0 and a result of Bank
Proceedings of the Conference Computational Methods and Function Theory 1994 / Edited By: R.M. Ali, S. Ruscheweyh and E.B. Saff. World Scientific, 1995, p. 125-134, Ch. 10. Book series: Series in Approximations and Decompositions, v. 5
Chiang, Yik Man


Expand All Collapse All


Article 1

Some properties of analytic functions with small schwarzian
Complex Variables Theory and Application, v. 25, 1994, p. 107-118
Chiang, Yik Man


Expand All Collapse All


Article 1

Some remarks on Lehto's domain constant
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica, v. 17, 1992, p. 285-293
Chiang, Yik Man


Expand All Collapse All


2016 6

On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman–Valiron Estimate
Constructive Approximation, v. 44, (3), December 2016, p. 313-326
Chiang, Yik Man; Feng, Shao-Ji Article
A Galoisian Approach to Complex Oscillation Theory
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Applications, Orlando, Florida, 1-5 July, 2016
Chiang, Yik Man; Yu, Guofu Conference paper
Complex Oscillation Theory and Semi-finite Gap Problems
Chinese-Finnish Workshop on Complex Analysis, University of Eastern Finland, 22-24 August 2016
Luo, Xudan; Chiang, Yik Man Conference paper
Galoisian Approach to Complex Oscillation of Hill's Eqauations
Random Matrices EurAsia 2016, University of Macau, 8-10 July 2016
Yu, Guofu; Chiang, Yik Man Conference paper
Galoisian Approach to Complex Oscillation Theory
International Conference on Applied Mathematics, Hong Kong, City University of Hong Kong, May 30 - June 2, 2016
Chiang, Yik Man; Yu, Guofu Conference paper
When Does a Formal Finite-difference Expansion Become Real?
The 11th AIMS Conference on Dynamical Dynamical Systems, Differential Equations and Application (contributed session), Orlando, Florida, 1-5 July 2016
Feng, Shaoji; Chiang, Yik Man Conference paper

2014 1

Estimates on the growth of meromorphic solutions of linear differential equations with density conditions
Reports and Studies in Forestry and Natural Sciences, v. 14, p. 45-55
Chiang, Yik Man Conference paper

2012 1

On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, v. 142A, (3), June 2012, p. 449-477
Chiang, Yik Man; Yu, Kit Wing Article

2011 1

Subnormal solutions of non-homogeneous periodic ODEs, special functions and related polynomials
Journal für die reine und angewandte Mathematik, v. 651, February 2011, p. 127-164
Chiang, Yik-Man; Yu, Kit-Wing Article

2010 1

Eigen-solutions of Biconfluent Heun equation with respect to a complex weight
Colloquium on Jordan Theory and Analysis, 8-12 April 2010
Chiang, Yik Man Conference paper

2009 3

On the Growth of Logarithmic Differences, Difference Quotients and Logarithmic Derivatives of Meromorphic Functions
Transactions of the American Mathematical Society, v. 361, (7), July 2009, p. 3767-3791
Chiang, Yik-Man; Feng, Shao-Ji Article
A q-deformation of classical Nevanlinna theory
International Conference on Complex Analysis and Related Topics, 20-23 August 2009, Beijing
Chiang, Yik Man Conference paper
A q-deformation of Nevanlinna Theory
Conference on Value Distribution Theory and Complex Geometry, 27-30 July 2009
Chiang, Yik Man Conference paper

2008 2

On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Ramanujan Journal, v. 16, (1), May 2008, p. 105-129
Chiang, Yik-Man; Feng, Shao-Ji Article
Malmquist-type theorems for second-order ODEs
International Conference on Nonlinear Waves: Theory and Applications, Beijing, China, organised by M. Ablowitz, D-Y. Hsieh and J. Yang, 9-12 June 2008
Chiang, Yik-Man Conference paper

2007 2

On The Nevanlinna Order Of Lommel And Struve Functions And Complex Differential Equations
The 9th International Conference on Special Functions, Orthogonal Polynomials and their Applications, Marseille, France, organized by G. Valent, 2-6 July 2007 (30 minutes talk)
Chiang, Yik-Man Conference paper
On the Nevanlinna Order of Lommel, Struve Functions and Complex Differential Equations
1st Joint Meeting of American and the Newzealand Mathematical Societies, Special session on Special Functions and Orthogonal Polynomials, Victoria Univ. of Wellington, organized by D. Dominici, O. Warnaar, S. Cooper, 12-15 December 2007 (25 minutes invited talk)
Chiang, Yik-Man Conference paper

2006 5

Difference independence of the Riemann zeta function
Acta Arithmetica, v. 125, (4), 2006, p. 317-329
Chiang, Yik-Man; Feng, Shao-Ji Article
On the Nevanlinna order of meromorphic solutions to linear analytic difference equations
Studies in applied mathematics, v. 116, (3), April 2006, p. 257-287
Chiang, YM; Ruijsenaars, Simon N.M. Article
On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials
Canadian Journal of Mathematics=Journal canadien de mathématiques, v. 58, (4), August 2006, p. 726-767
Chiang, Yik-Man; Ismail, Mourad E.H. Article
Estimates of difference operators in the complex plane
The Painleve Equations and Monodromy Problems: Recent Developments, Newton Institute, Cambridge September 2006
Chiang, Yik-Man Conference paper
Structural results of orthogonal polynomials that generalize Lommel's polynomials
ICM06 satelite meeting: 'Recent Trends in Constructive Approximation Theory', Univ. Carlos III de Madrid
Chiang, Yik-Man Conference paper

2005 2

On the growth of entire solutions to some difference equations
Computational Methods and Function Theory 2005, University of Joensuu, Finland, organized by St. Ruscheweyh, E. B. Saff, O. Martio and I. Laine., 13--17th June 2005,
Chiang, Yik-Man; Feng, S.J. Conference paper
Some Nevanlinna-type estimates related to discrete equations
International Conference on Nonlinear Waves, Integrable Systems, and their Applications, in honor of Mark Ablowitz's sixtieth birthday, University of Colorado Spring, , organized by M. Kruskal, T. Fokas, S. Chakravarty and R. Cascaval, 4--8th June 2005
Chiang, Yik-Man; Feng, S.J. Conference paper

2004 2

Estimates on the growth of meromorphic solutions of linear differential equations
Commentarii mathematici Helvetici, v. 79, (3), September 2004, p. 451-470
Chiang, Yik Man; Hayman, Walter K. Article
On The Location of Complex Zeros of Bessel Functions and Complex Oscillation Theory
American Mathematics Society, Joint Mathematics Meetings, Phoenix, AZ. Special Session in 'Value Distribution Theory in Classical and p-adic Function Theory', organized by A. Escassut, I. Laine and C. C. Yang., January 7-10
Chiang, Yik-Man; Ismail, Mourad E.M. Conference paper

2003 1

On the meromorphic solutions of an equation of Hayman
Journal of mathematical analysis and applications, v. 281, (2), May 2003, p. 663-677
Chiang, Yik Man; Halburd, RG Article

2002 2

Complex oscillation theory and special functions
Mathematical Reports of the Academy of Science of Canada, v. 24, (3), 2002, p. 117-123
Chiang, Yik-Man; Ismail, Mourad E.H. Article
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results
Annales Academiae Scientiarum Fennicae Mathematica, v. 27, (2), 2002, p. 273-290
Chiang, Yik Man; Gao, SA Article

2001 2

On Value Distribution Theory, Complex Oscillation of Differential Equations and Bessel polynomials
Summer School/Seminar in Applied Analysis, July, City University of Hong Kong
Chiang, Yik-Man Conference paper
On Value Distribution Theory, Complex Oscillation of Differential Equations and Special Functions
Summer School in Complex Difference Equations, August, University of Joensuu (Mekrijarvi Research Station)
Chiang, Yik-Man Conference paper

2000 1

On the zero-free solutions of linear periodic differential equations in the complex plane
Results in Mathematics, v. 38, (3-4), November 2000, p. 213-225
Chiang, Yik Man Article

1998 1

Some oscillation results for linear differential equations in the complex plane
Japanese Journal of Mathematics, v. 24, (2), 1998, p. 367-402
Chiang, Yik Man; Laine, Ilpo Article

1997 1

Oscillation results of certain higher order linear differential equations with periodic coefficients in the complex plane
Journal of Mathematical Analysis and Applications, v. 215, (2), November 1997, p. 560-576
Chiang, Yik Man; Wang, Shupei Article

1995 4

Oscillation results for some linear differential equations
Mathematica Scandinavica, v. 77, (2), December 1995, p. 209-224
Chiang, Yik Man; Laine, I.; Wang, SP Article
Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies
Proceedings of the Edinburgh Mathematical Society, v. 38, (1), February 1995, p. 13-34
Chiang, Yik Man Article
Efficient Software Multicast in Wormhole-Routed Unidirectional Multistage Networks
Proceedings of the Seventh IEEE Symposium on Parallel and Distributed Processing, Los Alamitos, CA : IEEE Computer Society Press, 1995, p. 106-113
Chiang, Chi-Ming; Ni, Lionel Ming-Shuan Conference paper
On the complex oscillation of y′′ + (ez ? K)y = 0 and a result of Bank
Proceedings of the Conference Computational Methods and Function Theory 1994 / Edited By: R.M. Ali, S. Ruscheweyh and E.B. Saff. World Scientific, 1995, p. 125-134, Ch. 10. Book series: Series in Approximations and Decompositions, v. 5
Chiang, Yik Man Conference paper

1994 1

Some properties of analytic functions with small schwarzian
Complex Variables Theory and Application, v. 25, 1994, p. 107-118
Chiang, Yik Man Article

1992 1

Some remarks on Lehto's domain constant
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica, v. 17, 1992, p. 285-293
Chiang, Yik Man Article


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 1 2020-21 Summer 0 2020-21 Spring 3 2020-21 Winter 0 2020-21 Fall 1

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MATH1014 Calculus II


MATH1012 Calculus IA
MATH1013 Calculus IB
MATH2352 Differential Equations


MATH1014 Calculus II


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy LIN, Xiaoli
Mathematics( 2017 - )

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Graduated RPGs

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Master of Philosophy MENG, Bin
Mathematics( Completed in 2021 )









ProjectsFrom January 2020 to December 2022

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All Projects 2

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No Projects.
Galoisian approach to Complex oscillation theory and finite-gap problems of certain Hill's equations


微分方程复震荡论及伽罗华论的研究 Leading


RGC - General Research Fund


Project Team (HKUST)
CHIANG Edmund Yik Man (Lead)


2017 - 2020




An evaluation study on the implementation of the mathematics curriculum in schools Leading


Education Bureau, Government of HKSAR


Project Team (HKUST)
CHIANG Edmund Yik Man (Lead)


2011 - 2021