A generalized q-multinomial Vandermonde convolution

DOI10.1016/0097-3165(81)90051-0zbMath0466.05002OpenAlexW2005304152MaRDI QIDQ1155052

Robert A. Sulanke

Publication date: 1981

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(81)90051-0

zbMATH Keywords

generating functionsGaussian coefficientsVandermonde's convolutionq-multinomial coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Paths and cycles (05C38)

Related Items (4)

q-counting \(n\)-dimensional lattice paths ⋮ On the lattice path method in convolution-type combinatorial identities. II: The weighted counting function method on lattice paths ⋮ MULTINOMIAL VANDERMONDE CONVOLUTION VIA PERMANENT ⋮ Some generalized Durfee square identities

Cites Work

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• Bender's generalized q-binomial Vandermonde convolution
• A generalized q-binomial Vandermonde convolution
• Sums of products of multinomial coefficients
• Summability of Jacobi Series
• Applications of Basic Hypergeometric Functions
• On the number of certain lattice polygons
• On Multinomial Coefficients

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