Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values

Abstract

In this paper we establish several recurrence relations about Euler-Apéry type multiple zeta star values and a parametric variant of it by using the method of iterated integrals. Then using the formulas obtained, we find the explicit evaluations for some specific Euler-Apéry type multiple zeta star values and one of its parametric variant, and Euler-Apéry type multiple $t$-star values.

arXiv admin note: text overlap with arXiv:2103.01377

References in corpus (3)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Multiple zeta values, WZ-pairs and infinite sums computations
• New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values