Extension of a quadratic transformation due to Whipple with an application

DOI10.1186/1687-1847-2013-157zbMath1390.33018OpenAlexW2143465230WikidataQ59301321 ScholiaQ59301321MaRDI QIDQ1648771

Arjun K. Rathie, Xiaoxia Wang

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-157

zbMATH Keywords

beta integralWhipple's transformationextension of a quadratic transformationSaalschütz's summation theorem

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (2)

Extensions of the classical transformations of the hypergeometric function \({}_3F_2\) ⋮ Extensions of classical hypergeometric identities of Bailey and Whipple

Cites Work

• Unnamed Item
• Automatic generation of hypergeometric identities by the beta integral method.
• A generalization of Kummer's identity.
• EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications

This page was built for publication: Extension of a quadratic transformation due to Whipple with an application