Clausen's series3F2(1) with integral parameter differences and transformations of the hypergeometric function2F2(x)

DOI10.1080/10652469.2011.552263zbMath1258.33004OpenAlexW1995821716MaRDI QIDQ2880439

Allen R. Miller, Richard B. Paris

Publication date: 13 April 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.552263

zbMATH Keywords

Kummer-type transformationsClausen's hypergeometric function

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) 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)

Related Items (7)

The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences ⋮ Linearization formulae for certain Jacobi polynomials ⋮ New identities for a sum of products of the Kummer functions ⋮ A theory of production, matching, and distribution ⋮ Variations on a hypergeometric theme ⋮ Degenerate Miller-Paris transformations ⋮ Some summation theorems for Clausen's hypergeometric functions with unit argument

Cites Work

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• On the reducibility of the Kampé de Fériet function
• On a Kummer-type transformation for the generalized hypergeometric function \(_{2}F_{2}\)
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• Comment on ``A new two-term relation for the \(_3F_2\) hypergeometric function of unit argument
• The special functions and their approximations. Vol. I, II
• Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
• A summation formula for Clausen's series₃F₂(1) with an application to Goursat's function₂F₂(x)
• Hypergeometric Functions with Integral Parameter Differences

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