A DERIVATION OF TWO QUADRATIC TRANSFORMATIONS CONTIGUOUS TO THAT OF KUMMER VIA A DIFFERENTIAL EQUATION APPROACH

DOI10.5831/HMJ.2016.38.4.693zbMath1382.33003WikidataQ115158821 ScholiaQ115158821MaRDI QIDQ4603394

Arjun K. Rathie, Junesang Choi, K. Shani

Publication date: 20 February 2018

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Gauss hypergeometric functionhypergeometric differential equationquadratic transformation

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Uses Software

• DLMF

Cites Work

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• The special functions and their approximations. Vol. I, II
• Generalization of Kummer’s second theorem with applications

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