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Generating Functions for Binomial Series Involving Harmonic-like Numbers
Chunli Li, Wenchang Chu
Source abstract
By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F12(y2)-series. Numerous closed-form generating functions for infinite series containing binomial coefficients and harmonic numbers will be established, including several conjectured ones.
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