On generating functions of multiple zeta values and generalized hypergeometric functions

Takashi Aoki; Yasuo Ohno; Noriko Wakabayashi

doi:10.1007/s00229-010-0388-7

On generating functions of multiple zeta values and generalized hypergeometric functions

Takashi Aoki, Yasuo Ohno, Noriko Wakabayashi

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Generating functions for sums of certain multiple zeta values with fixed weight, depth and i-heights are discussed. The functions are systematically expressed in terms of generalized hypergeometric functions. The expressions reproduce several known formulas for multiple zeta values as applications.

Original language	English
Pages (from-to)	139-155
Number of pages	17
Journal	manuscripta mathematica
Volume	134
Issue number	1
DOIs	https://doi.org/10.1007/s00229-010-0388-7
Publication status	Published - 2011 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00229-010-0388-7

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abstract = "Generating functions for sums of certain multiple zeta values with fixed weight, depth and i-heights are discussed. The functions are systematically expressed in terms of generalized hypergeometric functions. The expressions reproduce several known formulas for multiple zeta values as applications.",

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On generating functions of multiple zeta values and generalized hypergeometric functions

Abstract

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