On a new class of summation formulas involving the generalized hypergeometric \(_2F_2\) polynomial

DOI10.1186/1687-1847-2014-43zbMath1343.33004OpenAlexW1967672760WikidataQ59319013 ScholiaQ59319013MaRDI QIDQ307221

Arjun K. Rathie, Adem Kilicman

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-43

zbMATH Keywords

polynomialgeneralized hypergeometric seriesextension of Gauss and Kummer summation theorems

Mathematics Subject Classification ID

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

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Cites Work

• Summation formulae involving the Laguerre polynomial
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• On a new class of summation formulae involving the Laguerre polynomial
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
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