CERTAIN SUMMATION FORMULAS FOR HUMBERT'S DOUBLE HYPERGEOMETRIC SERIES Ψ2AND Φ2

DOI10.4134/CKMS.2015.30.4.439zbMath1329.33005MaRDI QIDQ3458947

Junesang Choi, Arjun K. Rathie

Publication date: 28 December 2015

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

gamma functiongeneralized hypergeometric functionhypergeometric functionPochhammer symbolKummer's second summation theoremHumbert's double double hypergeometric functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other hypergeometric functions and integrals in several variables (33C70) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Certain integral representations, transformation formulas and summation formulas related to Humbert matrix functions ⋮ On several unified reduction formulas for the Humbert function \(\Phi_2\) with applications ⋮ On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃

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