WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Euler-Apéry Type Multiple Zeta Star Values and Multiple t-Star
Values
Authors: ,
Abstract: By introducing an extra binomial factor in the summands of multiple zeta star series, we can define the
Euler-Apéry type multiple zeta star series. Their convergent values at positive integers are called Euler-Apéry
type multiple zeta star values. In this paper we establish several recurrence relations about these values and a
parametric variant by the method of iterated integrals. We then find the explicit evaluations for some specific
Euler-Apéry type multiple zeta star values and t-star values, together with a parametric variant of the star version.