Quadratic transformation inequalities for Gaussian hypergeometric function

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.

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Bibliographic Details
Published inJournal 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
LanguageEnglish
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
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Summary: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.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1848-y