Alternating convolutions of Catalan numbers

DOI10.1007/s00574-021-00252-xzbMath1484.05012arXiv2005.00772OpenAlexW3152350344MaRDI QIDQ2115177

Chu, Wenchang

Publication date: 15 March 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00772

zbMATH Keywords

Catalan numberhypergeometric seriesbinomial coefficientalternating convolutionproduct formula of confluent hypergeometric series

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

Binomial sums via Bailey's cubic transformation ⋮ Unnamed Item

Cites Work

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• Identities on extended Catalan numbers and their \(q\)-analogs
• Further identities on Catalan numbers
• Lattice paths and the \(q\)-ballot polynomials
• An Introduction to Catalan Numbers
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Rational Functions Certify Combinatorial Identities
• Catalan Numbers

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