A Kummer-type transformation for some k-hypergeometric functions

DOI10.1080/00036811.2021.1969014OpenAlexW3193353560MaRDI QIDQ5072135

Jian-Rong Zhou, Yongzhi Xu, Heng Li

Publication date: 25 April 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1969014

zbMATH Keywords

hypergeometric functionsKummer-type transformation\(k\)-hypergeometric functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\)
• Transformations of Kummer-type for \(_2F_2\)-series and their \(q\)-analogues
• On the reducibility of the Kampé de Fériet function
• On a Kummer-type transformation for the generalized hypergeometric function \(_{2}F_{2}\)
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• Certain summation and transformation formulas for generalized hypergeometric series
• A Generalised Kummer-Type Transformation for the _pF_p(x) Hypergeometric Function
• ANOTHER METHOD FOR A KUMMER-TYPE TRANSFORMATION FOR A₂F₂HYPERGEOMETRIC FUNCTION

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