Moments on quadratic binomial products

DOI10.1016/j.jnt.2017.02.005zbMath1428.11039OpenAlexW2600967331MaRDI QIDQ2628022

Chu, Wenchang

Publication date: 9 June 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.02.005

zbMATH Keywords

binomial coefficienttelescoping methodCatalan triangleChu-Vandermonde convolutionpartial binomial sum

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (4)

Reduction formula of a double binomial sum ⋮ Three binomial sums weighted by falling and rising factorials ⋮ Proofs of two conjectures on Catalan triangle numbers ⋮ Triple product sums of Catalan triangle numbers

Cites Work

• Unnamed Item
• Some new binomial sums related to the Catalan triangle
• Moments on Catalan numbers
• Moments of combinatorial and Catalan numbers
• Factors of binomial sums from the Catalan triangle
• A Catalan triangle
• New identities in the Catalan triangle
• Identities with squares of binomial coefficients: An elementary and explicit approach

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