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Derivative operator and harmonic number identities

Published 4 Nov 2011 in math.CO | (1111.1024v2)

Abstract: By applying the derivative operator to the corresponding hypergeometric form of a $q$-series transformation due to Andrews [1,Theorem 4], we establish a general harmonic number identity. As the special cases of it, several interesting Chu-Donno type identities and Paule-Schneider type identities are displayed.

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