Evaluations of some terminating hypergeometric 2 F 1 (2) series with applications

DOI10.3906/mat-1804-67zbMath1424.33015arXiv1403.7759OpenAlexW2892647744MaRDI QIDQ5742825

Yong Sup Kim, Arjunkumar Rathie, Richard B. Paris

Publication date: 8 May 2019

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

Full work available at URL: https://arxiv.org/abs/1403.7759

zbMATH Keywords

terminating hypergeometric seriesgeneralized Kummer's second and third summation theorems

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

On an interesting extension of Kummer's second theorem with applications ⋮ A note on a generalization of two well-known Cominatorial identities via a Hypergeometric series approach ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

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• On an extension of Kummer's second theorem
• Remarks on a sum containing factorials
• Transformation formulas for the generalized hypergeometric function with integral parameter differences
• Some results for terminating \({}_2F_1(2)\) series
• Generalization of two theorems due to Ramanujan
• TWO RESULTS FOR THE TERMINATING₃F₂(2) WITH APPLICATIONS
• Generalization of Kummer’s second theorem with applications
• Terminating hypergeometric₂F₁(2)–series
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• A generalization of a formula due to Kummer^†
• A sum containing factorials

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