A series involving Catalan numbers: proofs and demonstrations

DOI10.4171/EM/306zbMath1354.11022WikidataQ113692023 ScholiaQ113692023MaRDI QIDQ509114

Christophe Vignat, Victor H. Moll, Lin Jiu, Xiao Guan, Tewodoros Amdeberhane

Publication date: 8 February 2017

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Catalan numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Classical hypergeometric functions, ({}_2F_1) (33C05) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers ⋮ Integral representations of the Catalan numbers and their applications ⋮ Several series identities involving the Catalan numbers

Uses Software

• DLMF

Cites Work

• The death of proof? Semi-rigorous mathematics? You've got to be kidding!
• A probabilistic approach to some binomial identities
• “Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics
• Interesting Series Involving the Central Binomial Coefficient
• On proof and progress in mathematics
• Probability
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