Quadratic transformation inequalities for Gaussian hypergeometric function

• Published in: Journal of inequalities and applications Vol. 2018; no. 1; pp. 251 - 15
• Main Authors: Zhao, Tie-Hong, Wang, Miao-Kun, Zhang, Wen, Chu, Yu-Ming
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 2018; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Duplication inequality; Generalized Grötzsch ring function; Hypergeometric function; Hypergeometric functions; Inequalities; Mathematics; Mathematics and Statistics; Quadratic transformation; Transformations (mathematics); Hypergeometric function; 26D20; Quadratic transformation; Generalized Grötzsch ring function; 33C05; Duplication inequality

In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.