A Note on Kawashima Functions

الأصل · EN

This note is a survey of results on the function Fₖ(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 a recent work on Kawashima's MZV relation by M. Kaneko and the author.