Version 1
: Received: 5 November 2024 / Approved: 5 November 2024 / Online: 6 November 2024 (09:58:26 CET)
How to cite:
Akerele, O.; Adeshina, Q. On Some Series Involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$. Preprints2024, 2024110323. https://doi.org/10.20944/preprints202411.0323.v1
Akerele, O.; Adeshina, Q. On Some Series Involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$. Preprints 2024, 2024110323. https://doi.org/10.20944/preprints202411.0323.v1
Akerele, O.; Adeshina, Q. On Some Series Involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$. Preprints2024, 2024110323. https://doi.org/10.20944/preprints202411.0323.v1
APA Style
Akerele, O., & Adeshina, Q. (2024). On Some Series Involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$. Preprints. https://doi.org/10.20944/preprints202411.0323.v1
Chicago/Turabian Style
Akerele, O. and Quadri Adeshina. 2024 "On Some Series Involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$" Preprints. https://doi.org/10.20944/preprints202411.0323.v1
Abstract
We investigate a class of combinatorial sums involving reciprocals of central binomial coefficients , employing generating functions as the primary solution technique to formulate and analyze series involving the Catalan's constant. Using a direct approach, we derive new identities through integral techniques.
Keywords
Catalan’s constant; central binomial coefficients; reciprocals of binomial coefficients; hyper-geometric functions
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
