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

共 50 条

[1] On Generalized Stieltjes Functions
Stamatis Koumandos
Henrik L. Pedersen
Constructive Approximation, 2019, 50 : 129 - 144
[2] On Generalized Stieltjes Functions
Koumandos, Stamatis
Pedersen, Henrik L.
CONSTRUCTIVE APPROXIMATION, 2019, 50 (01) : 129 - 144
[3] Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions
Karp, D. B.
Prilepkina, E. G.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (10) : 710 - 731
[4] Rational generalized Stieltjes functions
Kovalyov, Ivan
CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2022, 5 (03): : 154 - 167
[5] Ratios of Entire Functions and Generalized Stieltjes Functions
Dimitris Askitis
Henrik L. Pedersen
Computational Methods and Function Theory, 2022, 22 : 471 - 489
[6] Ratios of Entire Functions and Generalized Stieltjes Functions
Askitis, Dimitris
Pedersen, Henrik L.
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (03) : 471 - 489
[7] On Asymptotic Expansions of Generalized Stieltjes Functions
Koumandos, Stamatis
Pedersen, Henrik Laurberg
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2015, 15 (01) : 93 - 115
[8] Some new integral transforms with the generalized hypergeometric function
Virchenko, N. O.
Ovcharenko, O. V.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (09) : 647 - 653
[9] Bicomplex generalized hypergeometric functions and their applications
Bera, Snehasis
Das, Sourav
Banerjee, Abhijit
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 550 (01)
[10] On the zeros of some generalized hypergeometric functions
Ki, H
Kim, YO
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 243 (02) : 249 - 260

← 1 2 3 4 5 →