On Hypergeometric Functions and Generalizations of Legendre's Relation-Reference-Cited by-同舟云学术

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On Hypergeometric Functions and Generalizations of Legendre's Relation

Published:2001-08 Issue:2 Volume:260 Page:623-640
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Karatsuba E.A,Vuorinen M

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference8 articles.

1. Generalized elliptic integrals and modular equations;Anderson;Pacific J. Math.,2000

2. Higher Transcendental Functions;Erdélyi,1953

3. Special Functions of Applied Mathematics;Carlson,1977

4. A formula including Legendre's EK′+KE′−KK′=12π;Elliott;Messenger Math.,1904

5. Werke;Gauss,1876

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some new inequalities for the beta function and certain ratios of beta functions;Results in Applied Mathematics;2022-08

2. Monotonicity and inequalities involving zero-balanced hypergeometric function;Mathematical Inequalities & Applications;2019

3. Solution to a conjecture on the Legendre M-function with an application to the generalized modulus;Journal of Mathematical Analysis and Applications;2015-11

4. Topics in Special Functions III;Analytic Number Theory, Approximation Theory, and Special Functions;2014

5. Introduction and Preliminary Results;Lecture Notes in Mathematics;2010

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