The Gauss 2F1(1)-summation theorem and harmonic number identities

Author: Chen Xiaojing  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.20, Iss.12, 2009-12, pp. : 925-935

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Abstract

By means of Gauss's 2F1(1)-summation theorem, we establish a general formula involving binomial coefficients, Bell polynomials of harmonic numbers as well as the Riemann zeta series. Several interesting finite and infinite series identities are illustrated as examples.