Convolution identities involving the central binomial coefficients and Catalan numbers

DOI10.22108/toc.2021.127505.1821zbMath1485.11040OpenAlexW3170774892MaRDI QIDQ4958099

Hakan Küçük, Sezer Sorgun, Necdet Batir

Publication date: 6 September 2021

Full work available at URL: https://doaj.org/article/c365b854cd9d47fba7dbfdfa79ea3321

zbMATH Keywords

Catalan numbercombinatorial identityharmonic numberconvolution identitycentral binomial coefficient

Mathematics Subject Classification ID

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

Related Items (3)

Logarithmic integrals with applications to BBP and Euler-type sums ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• A bijective proof of Shapiro's Catalan convolution
• On Shapiro's Catalan convolution
• Counting and recounting
• Counting and recounting: The aftermath
• Identities involving Narayana polynomials and Catalan numbers
• A combinatorial proof of Shapiro's Catalan convolution
• New series involving harmonic numbers and squared central binomial coefficients
• Some properties of the Fuss-Catalan numbers
• Generalization and Probabilistic Proof of a Combinatorial Identity
• Rational Functions Certify Combinatorial Identities
• Pairings and Signed Permutations
• Catalan Numbers
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