Inverse binomial series and values of Arakawa-Kaneko zeta functions
Résumé
In this article, we consider a variety of evaluations of series of polygarithmic nature. In particular, we express the special values at positive integers of certain zeta functions of Arakawa-Kaneko type in terms of series involving inverse binomial sums studied by Kalmykov and Davydychev in relation with the Feynman diagrams.
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