On Some Sums of Digamma and Polygamma functions

Details On Some Sums of Digamma and Polygamma functions On Some Sums of Digamma and Polygamma functions

2004-06-17

arxiv.org/abs/math/0406338v2

Mathematics

Classical Analysis and ODEs

minor corrections and additions

Scientific paper

Many formula involving sums of digamma and polygamma functions, few of which appear in standard reference works or the literature, but which commonly arise in applications, are collected and developed. Along the way, a new evaluation for some particular members of the family of hypergeometric functions - 4F3(1) - is presented, and a connection is made with Euler sums. All proofs are sketched.

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