Binomial convolutions and hypergeometric identities

DOI10.1007/BF02844247zbMath0835.33002MaRDI QIDQ1896375

Chu, Wenchang

Publication date: 22 April 1996

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

generating functionsAbel coefficientGould coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (7)

Another class of nonterminating \(_3F_2\)-series with a free argument ⋮ Transformation formulae for terminating balanced $_4F_3$-series and implications ⋮ Two matrix inversions associated with the Hagen-Rothe formula, their \(q\)-analogues and applications ⋮ Nonterminating ₃F₂-series with a free variable ⋮ The uniformization of certain algebraic hypergeometric functions ⋮ Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series ⋮ Binomial convolutions and determinant identities

Cites Work

• Sone new inverse series relations
• A series transformation for finding convolution identities
• Some Generalizations of Vandermonde's Convolution
• Final Analysis of Vandermonde's Convolution
• Strange Evaluations of Hypergeometric Series
• Positive Integrals of Bessel Functions
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