Reciprocity theorems involving the \(q\)-gamma function

DOI10.1007/s11139-016-9872-3zbMath1390.33015OpenAlexW2584826429MaRDI QIDQ1743623

James Griffin, Mohamed El Bachraoui

Publication date: 13 April 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9872-3

zbMATH Keywords

reciprocity theorem\(q\)-gamma function\(q\)-analogs

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Functional inequalities for the \(q\)-digamma function

Cites Work

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• Six-variable generalization of Ramanujan's reciprocity theorem and its variants
• The \(q\)-gamma function for \(q>1\)
• Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
• A reciprocity theorem for certain \(q\)-series found in Ramanujan's lost notebook
• A reciprocity theorem for certain hypergeometric series
• Ramanujan's Extensions of the Gamma and Beta Functions
• Theq-Gamma andq-Beta Functions†