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

Published 17 Nov 2024 in math.GM | (2412.00024v1)

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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