A general double-series identity and its application in hypergeometric reduction formulas

DOI10.3906/mat-2105-101OpenAlexW4233143464WikidataQ113692762 ScholiaQ113692762MaRDI QIDQ5097746

Shakir Hussain Malik, Mohammad Idris Qureshi

Publication date: 1 September 2022

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

Full work available at URL: https://doi.org/10.3906/mat-2105-101

zbMATH Keywords

bounded sequenceseries rearrangement techniquehypergeometric summation theoremSrivastava-Daoust double hypergeometric functionhypergeometric transformation and reduction formula

Mathematics Subject Classification ID

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

Uses Software

• DLMF

Cites Work

• The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences
• Strange Evaluations of Hypergeometric Series
• Non-terminating₃F₂-series with unit argument
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
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