Generalization of a quadratic transformation formula due to Gauss

DOI10.1155/2012/789519zbMath1256.33004OpenAlexW2042261806WikidataQ58705094 ScholiaQ58705094MaRDI QIDQ456573

Medhat A. Rakha

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/789519

zbMATH Keywords

generalized Watson's theoremtransformation formula due to Gauss

Mathematics Subject Classification ID

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

Related Items

On some further hypergeometric series identities obtained via fractional calculus

Cites Work

• A fast algorithm for proving terminating hypergeometric identities
• Generalized Watson's summation formula for \(_3F_2(1)\)
• Generalization of Kummer’s second theorem with applications
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK
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