Evaluation of harmonic number series involving the binomial coefficient C(3n,n) in the denominator by integration

2024/11/17 by Adegoke, Kunle, Frontczak, Robert
#11G55 #33B30 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2412.00024

Abstract

Two classes of infinite series involving harmonic numbers and the binomial coefficient C(3n,n) are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main results.

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