On a new class of summation formulae involving the Laguerre polynomial

DOI10.1080/10652469.2011.597390zbMath1273.33010OpenAlexW2166848744MaRDI QIDQ2892837

Yong Sup Kim, Arjun K. Rathie, Richard B. Paris

Publication date: 25 June 2012

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

Full work available at URL: https://rke.abertay.ac.uk/ws/files/8536736/Paris_OnANewClassOfSummationFormulaeInvolving_Author_2012.pdf

zbMATH Keywords

Laguerre polynomialsgeneralized hypergeometric seriesKummer summation theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

On a new class of summation formulas involving the generalized hypergeometric \(_2F_2\) polynomial ⋮ New families of double hypergeometric series for constants involving ${1}/{\pi ^2}$ ⋮ Two series containing the Laguerre polynomials

Cites Work

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• Summation formulae involving the Laguerre polynomial
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)

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