Legendre inversions and balanced hypergeometric series identities

DOI10.1016/j.disc.2007.03.031zbMath1246.05016OpenAlexW2089731782MaRDI QIDQ2467734

Chuanan Wei, Chu, Wenchang

Publication date: 28 January 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.03.031

zbMATH Keywords

hypergeometric seriesbinomial convolutionLegendre inversions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Strange evaluations of Fox–Wright function, Some inversion formulas and formulas for Stirling numbers, New identities for terminating balanced \(_4\phi_3\)-series, Unnamed Item, Multiplicate inverse forms of terminating hypergeometric series, Further identities on Catalan numbers, Bilateral inversions and terminating basic hypergeometric series identities

Cites Work

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• Binomial convolutions and determinant identities
• Determinant identities
• Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions
• Inversion techniques and combinatorial identities: Balanced hypergeometric series.
• Some Generalizations of Vandermonde's Convolution