Landen inequalities for Gaussian hypergeometric function

In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function 2 F 1 ( a , b ; c ; x ) . Our obtained results are the generalizations and improvements of the previously known results.

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Bibliographic Details
Published in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 116; no. 1
Main Authors:	Zhao, Tie-Hong, Wang, Miao-Kun, Hai, Guo-Jing, Chu, Yu-Ming
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 2022 Springer Nature B.V
Subjects:	Applications of Mathematics Hypergeometric functions Inequalities Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical Landen inequalities Ramanujan transformation 33E05 Gaussian hypergeometric function 33C05 Landen identity
Online Access:	Get full text
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