Duality formulas for Arakawa-Kaneko zeta values and related variants

DOI10.1007/s40840-021-01099-7zbMath1468.11180OpenAlexW3134792886WikidataQ113892435 ScholiaQ113892435MaRDI QIDQ2048996

Ce Xu

Publication date: 24 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01099-7

zbMATH Keywords

multiple polylogarithm functionmultiple harmonic (star) summultiple zeta (star) valueArakawa-Kaneko zeta functionKaneko-tsumura \(\eta\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values ⋮ Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function ⋮ A note on Arakawa-Kaneko zeta values and Kaneko-Tsumura \(\eta\)-values ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values

Cites Work

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• Multiple zeta values and Euler sums
• Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials
• Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions
• Multiple harmonic series
• A new integral-series identity of multiple zeta values and regularizations
• Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
• Inverse binomial series and values of Arakawa-Kaneko zeta functions
• The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• COMBINATORIAL PROOFS OF IDENTITIES FOR SPECIAL VALUES OF ARAKAWA-KANEKO MULTIPLE ZETA FUNCTIONS
• Generalized Arakawa-Kaneko zeta functions
• On analogues of Arakawa-Kaneko zeta functions of Mordell-Tornheim type
• On functions of Arakawa and Kaneko and multiple zeta values
• The Arakawa-Kaneko zeta function

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