FUNCTIONAL INEQUALITIES FOR HYPERGEOMETRIC-FUNCTIONS AND COMPLETE ELLIPTIC INTEGRALS

被引：94

作者：

ANDERSON, GD

VAMANAMURTHY, MK

VUORINEN, M

机构：

[1] INDIANA UNIV,ITM,MUCIA COOPERAT PROGRAM,BLOOMINGTON,IN 47401

[2] UNIV HELSINKI,DEPT MATH,SF-00100 HELSINKI 10,FINLAND

[3] UNIV AUCKLAND,DEPT MATH & STAT,AUCKLAND,NEW ZEALAND

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 02期

关键词：

ELLIPTIC INTEGRAL; HYPERGEOMETRIC FUNCTION;

D O I：

10.1137/0523025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study monotoneity and convexity properties of the Gaussian hypergeometric function, particularly the special cases of complete elliptic integrals. They also prove functional inequalities for these functions and various combinations of them and present some conjectures about inequalities for these functions.

引用

页码：512 / 524

页数：13

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