慢增长的Laplace-Stieltjes变换的逼近

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慢增长的Laplace-Stieltjes变换的逼近徐洪焱, 刘三阳西安电子科技大学数学与统计学院西安 710126 The Approximation of Laplace-Stieltjes Transforms with Slow Growth Hong Yan XU, San Yang LIUSchool of Mathematics and Statistics, Xidian University, Xi'an 710126, P. R. China

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摘要主要研究了全平面内收敛的Laplace-Stieltjes变换所表示的有限对数级整函数的增长性与逼近问题，得到了涉及对数级、对数型、Laplace-Stieltjes变换的系数与误差算子的若干定理，推广了罗茜，孔荫莹，Singhal和Srivastava等人的结果.

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收稿日期: 2018-05-03

MR (2010):

O174.55

基金资助:国家自然科学基金（11561033，61877046）；陕西省自然科学基金（2017JM1001）；江西省自然科学基金（20181BAB201001）及省教育厅科技项目（GJJ170759，GJJ161603，GJJ170788，GJJ151222）

作者简介: 徐洪焱,E-mail:xuhongyanxidian@126.com;刘三阳,E-mail:liusanyang@126.com

引用本文:

徐洪焱, 刘三阳. 慢增长的Laplace-Stieltjes变换的逼近[J]. 数学学报, 2019, 62(3): 457-468. Hong Yan XU, San Yang LIU. The Approximation of Laplace-Stieltjes Transforms with Slow Growth. Acta Mathematica Sinica, Chinese Series, 2019, 62(3): 457-468.

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http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2019/V62/I3/457

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