On generating functions of multiple zeta values and generalized hypergeometric functions
type: Item
instance of: scholarly article
title: On generating functions of multiple zeta values and generalized hypergeometric functions
zbMATH Open document ID: 1219.11129
author: Takashi Aoki
author: Yasuo Ohno
author: Noriko Wakabayashi
published in: Manuscripta Mathematica
publication date: 2011-01-14T00:00:00Z
Mathematics Subject Classification ID: 11M32
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 5836520
zbMATH Keywords: multiple zeta values
zbMATH Keywords: hypergeometric functions
MaRDI profile type: Publication
full work available at URL: s00229-010-0388-7
OpenAlex ID: W2007561349
cites work: Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
cites work: A generating function for sums of multiple zeta values and its applications
cites work: Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
cites work: Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
cites work: Multiple \(q\)-zeta values
cites work: Multiple harmonic series
cites work: The algebra of multiple harmonic series
cites work: Relations of multiple zeta values and their algebraic expression.
cites work: Derivation and double shuffle relations for multiple zeta values
cites work: Sum of multiple zeta values of fixed weight, depth and \(i\)-height
cites work: A generalization of the duality and sum formulas on the multiple zeta values
cites work: Sum Relations for Multiple Zeta Values
cites work: Multiple zeta values of fixed weight, depth, and height
cites work: Cyclic sum of multiple zeta values
cites work: On the sum formula for the $q$-analogue of non-strict multiple zeta values
cites work: On relations for the multiple \(q\)-zeta values
cites work: Zeta stars
cites work: A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series
cites work: An algebraic proof of the cyclic sum formula for multiple zeta values
cites work: Q5401208
cites work: Q4324348
cites work: Q3412341
DOI: 10.1007/S00229-010-0388-7
description: scientific article; zbMATH DE number 5836520