Hypergeometric functions as generalized Stieltjes transforms

被引：20

作者：

Karp, D. ^{[1
]}

Prilepkina, E. ^{[2
]}

机构：

[1] Far Eastern Fed Univ, Dept Business Informat, Vladivostok 690950, Russia

[2] Far Eastern Fed Univ, Dept Algebra Geometry & Anal, Vladivostok 690091, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 02期

关键词：

Generalized Stieltjes function; Moment problem; Generalized hypergeometric function; Hypergeometric inequality; Pade approximation;

D O I：

10.1016/j.jmaa.2012.03.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representations, inequalities, properties of the Pade table and the properties of the generalized hypergeometric function as a conformal map. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：348 / 359

页数：12

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