On some Series involving Reciprocals of \binom2nn and the Catalan's Constant G

2024/11/05 by Akerele, Olofin, Adeshina, Quadri
#11B65 #33BXX #33C05 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2411.11884

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.

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