A summation formula for Clausen's series3F2(1) with an application to Goursat's function2F2(x)

DOI10.1088/0305-4470/38/16/005zbMath1068.33009OpenAlexW2008796726MaRDI QIDQ4682129

Allen R. Miller

Publication date: 9 June 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/38/16/005

zbMATH Keywords

generalized hypergeometric seriessummation formulaeKampé de Fériet functiontransformation formulae

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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