Identity involving symmetric sums of regularized multiple zeta-star values

Abstract

An identity involving symmetric sums of regularized multiple zeta-star values of harmonic type was proved by Hoffman. In this paper, we prove an identity of shuffle type. We use Bell polynomials appearing in the study of set partitions to prove the identity.

Ver2: a corollary is added and some places are modified

References in corpus (2)

• Quasi-symmetric functions and mod p multiple harmonic sums
• Identities involving cyclic sums of regularized multiple zeta values each of depth less than $5$