Some combinatorial series identities associated with the digamma function and harmonic numbers functions with negative coefficients
Date
2010-05-26T21:54:57Z
Authors
Wu, T.-C.
Tu, S.-T.
Srivastava, H.M.
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Abstract
The authors develop closed-form sums of several interesting families of series associated with the Digamma (or Psi) function and harmonic numbers. A number of illustrative examples and applications of the main results are also considered.
Description
Keywords
Digamma (or Psi) function, harmonic numbers, Gamma function, combinatorial (or binomial) coefficients, series identities, Beta function, Gauss summation theorem, Chu-Vandermonde summation theorem, Gauss hypergeometric series