A family of sums containing factorials

DOI10.1080/10652460802535670zbMath1180.33004OpenAlexW2142081418MaRDI QIDQ3632912

Anthony Sofo, Hari M. Srivastava

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1080/10652460802535670

zbMATH Keywords

beta functiongamma functionJacobi polynomialsGauss hypergeometric functionToeplitz operatorsgeneralized hypergeometric functionsEuler's transformationChu-Vandermonde theoremKummer's summation theoremsPfaff-Kummer hypergeometric transformation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Terminating hypergeometric₂F₁(2)–series

Cites Work

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• Remarks on a sum containing factorials
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