关于川岛函数的注解

Publications Mathématiques de Besançon Pub Date : 2017-02-01 DOI:10.5802/pmb.38

Shuji Yamamoto

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引用次数: 3

摘要

本文综述了G. Kawashima引入的函数$F_{\mathbf{k}}(z)$的结果及其在多重zeta值研究中的应用。我们强调了Kawashima函数是二伽马函数$\psi(z)$的推广观点，并解释了$\psi(z)$的各种公式是如何推广的。我们还简要讨论了关于川岛函数的结果与金子先生和作者最近关于川岛MZV关系的研究的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on Kawashima functions

This note is a survey of results on the function $F_{\mathbf{k}}(z)$ 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 $\psi(z)$, and explain how various formulas for $\psi(z)$ 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.

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Publications Mathématiques de Besançon

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