A pretty binomial identity

DOI10.4171/EM/189zbMath1250.11023OpenAlexW2076736123MaRDI QIDQ427171

Minghua Lin, Valerio de Angelis, Victor H. Moll, Balasubramanian Sury, Tewodoros Amdeberhane

Publication date: 13 June 2012

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/em/189

zbMATH Keywords

binomial sumsconstant term identityhypergeometric functions, WZ method

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Classical hypergeometric functions, ({}_2F_1) (33C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (4)

Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers ⋮ Two infinite families of terminating binomial sums ⋮ Creative Telescoping for Holonomic Functions ⋮ Unnamed Item

Uses Software

• Maple

Cites Work

• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• A formula for a quartic integral: a survey of old proofs and some new ones
• The death of proof? Semi-rigorous mathematics? You've got to be kidding!
• How To Do Monthly Problems With Your Computer
• The double square root, Jacobi polynomials and Ramanujan's master theorem
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