Laplace-Stieltjes变换所表示的解析函数的对数级与对数精确级

Abstract

Abstract:

The purpose of this paper is to study precisely the growth of the analytic functions of zero order which are defined by Laplace-Stieltjes transformations and are analytic in the right half plane. The concepts of logarithmic order and logarithmic proximate order have been introduced and some results of the growth of such functions are obtained.

Key words: Logarithmic order, Low logarithmic order, Laplace-Stieltjes transformation, Analytic function

CLC Number:

44A10

XU Hong-Yan, YI Cai-Feng, HU Yi. On Logarithmic Order and Logarithmic Proximate Order of the Analytic Function Defined by Laplace-Stieltjes Transformations[J].Acta mathematica scientia,Series A, 2013, 33(2): 366-376.

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On Logarithmic Order and Logarithmic Proximate Order of the Analytic Function Defined by Laplace-Stieltjes Transformations

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