The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers

DOI10.1080/0020739X.2021.1912842zbMath1496.97009OpenAlexW3155782876MaRDI QIDQ5043956

Seán Mark Stewart

Publication date: 6 October 2022

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2021.1912842

zbMATH Keywords

Fibonacci numbersseriesCatalan numberscentral binomial coefficientsinverse versineversine

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Special sequences and polynomials (11B83) Number theory (educational aspects) (97F60) Combinatorics (educational aspects) (97K20)

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Cites Work

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• A series involving Catalan numbers: proofs and demonstrations
• Several series identities involving the Catalan numbers
• Integral representations of the Catalan numbers and their applications
• Convergence of a Catalan Series
• Interesting Series Involving the Central Binomial Coefficient
• How to Integrate It
• Catalan Numbers
• Problems and Solutions

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