Series associated with Polygamma functions

Anthony Sofo

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Integral representations, Combinatorial identities, Identities, Polygamma functions

Anthony Sofo

School of Engineering and Science, Research Group in Mathematical Inequalities and Applications, Victoria University, PO Box 14428, Melbourne City, VIC 8001, Australia

Abstract

We use integral identities to establish a relationship with sums that include polygamma functions, moreover we obtain some closed forms of binomial sums. In particular cases, we establish some identities for Polygamma functions.