A note on Kawashima functions

Abstract

This note is a survey of results on the function F k (z) introduced by G. Kawashima, and its applications to the study of multiple zeta values. We stress the viewpoint that the Kawashima function is a generalization of the digamma function ψ(z), and explain how various formulas for ψ(z) are generalized. We also discuss briefly the relationship of the results on the Kawashima functions with the recent work on Kawashima’s MZV relation by M. Kaneko and the author.