Note on relations among multiple zeta(-star) values II

TL;DR

This paper derives new evaluations of multiple polylogarithm values by leveraging a limiting case of a hypergeometric identity, advancing understanding of multiple zeta(-star) values.

Contribution

It introduces novel evaluations of multiple polylogarithms using hypergeometric identities, expanding the analytical tools for studying multiple zeta(-star) values.

Findings

New evaluations of multiple polylogarithm values

Application of hypergeometric identities to special functions

Enhanced analytical methods for multiple zeta(-star) values

Abstract

I obtain new evaluations of special values of multiple polylogarithms by using a limiting case of a basic hypergeometric identity of G. E. Andrews.