Three binomial sums weighted by falling and rising factorials

DOI10.3906/mat-1706-24zbMath1424.05009OpenAlexW2801880023MaRDI QIDQ4634203

Emrah Kılıç

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1706-24

zbMATH Keywords

hypergeometric seriesbinomial sumsrising and falling factorials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Triple product sums of Catalan triangle numbers

Uses Software

• DLMF

Cites Work

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• Identities involving Narayana polynomials and Catalan numbers
• A Catalan triangle
• Combinatorial sums and finite differences
• New identities in the Catalan triangle
• Moments on quadratic binomial products
• Identities with squares of binomial coefficients: An elementary and explicit approach

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