Integral inequalities for some special functions

被引：9

作者：

Grinshpan, AZ ^{[1
]}

机构：

[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 314卷 / 02期

关键词：

integral inequalities; Bessel functions; beta function; confluent hypergeometric functions; gamma function; Gauss hypergeometric function; Hermite polynomials; Jacobi polynomials; Laguerre polynomials; Whittaker functions;

D O I：

10.1016/j.jmaa.2005.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several integral inequalities for the classical hypergeometric, confluent hypergeometric, and confluent hypergeometric limit functions are given. The related results for Bessel and Whittaker functions as well as for Laguerre, Hermite, and Jacobi polynomials are discussed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：724 / 735

页数：12

共 17 条

[1]

[Anonymous], 2000, TABLE INTEGRALS SERI

[2]

[Anonymous], 1944, TREATISE THEORY BESS

[3]

BUCHHOLZ H, 1969, SPRINGER TRACTS NATU, V15

[4]

Erdelyi A., 1981, HIGHER TRANSCENDENTA, V2

[5]

Erdelyi A., 1954, TABLES INTEGRAL TRAN, VII

[6]

Erdelyi A., 1954, TABLES INTEGRAL TRAN, VI

[7]

Erdelyi A., 1981, Higher transcendental functions

[8] Inequalities generated by the gamma function [J].

Grinshpan, AZ .

ADVANCES IN APPLIED MATHEMATICS, 2002, 29 (01) :115-125

[9] General inequalities, consequences and applications [J].

Grinshpan, AZ .

ADVANCES IN APPLIED MATHEMATICS, 2005, 34 (01) :71-100

[10]

GRINSHPAN AZ, IN PRESS P AM MATH S

← 1 2 →