Landen inequalities for Gaussian hypergeometric function
type: Item
instance of: scholarly article
title: Landen inequalities for Gaussian hypergeometric function
zbMATH Open document ID: 1501.33009
author: Tiehong Zhao
author: Miao-Kun Wang
author: Guo-Jing Hai
author: Yu-Ming Chu
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2022-01-10T00:00:00Z
review text: The paper contains several Landen inequalities, and quadratic and cubic transformation inequalities for the general Gaussian hypergeometric function \(_2F_1(a, b; c ;x)\). The authors present Landen inequalities and other Ramanujan's quadratic, cubic transformation inequalities for the Gaussian hypergeometric function \(F(a,b;c;r)\) which are generalizations of known ones for two classes of hypergeometric functions \(F(a,b;a+b;r)\) and \(F(a,b;a+b+12;r)\), they improve and refine results given before.
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 7454680
zbMATH Keywords: Gaussian hypergeometric function
zbMATH Keywords: Landen identity
zbMATH Keywords: Landen inequalities
zbMATH Keywords: Ramanujan transformation
reviewed by: Vijay Yadav
MaRDI profile type: Publication
full work available at URL: s13398-021-01197-y
OpenAlex ID: W4200350566
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DOI: 10.1007/S13398-021-01197-Y
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7454680