A contiguous extension of Dixon’s theorem for a terminating 4F3(1) series with applications

DOI10.3906/mat-2102-42OpenAlexW3200695684MaRDI QIDQ5099128

Shakir Hussain Malik, Richard B. Paris, Mohammad Idris Qureshi

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2102-42

zbMATH Keywords

bounded sequencehypergeometric summation theoremsseries rearrangement techniqueSrivastava-Daoust double hypergeometric function

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan's summations
• Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\)
• Transformation formulas for the generalized hypergeometric function with integral parameter differences
• Certain summation and transformation formulas for generalized hypergeometric series
• Certain transformations and summations for generalized hypergeometric series with integral parameter differences
• 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)
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series

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