A note on Arakawa-Kaneko zeta values and Kaneko-Tsumura \(\eta\)-values

DOI10.1007/s40840-022-01420-yzbMath1499.11269OpenAlexW4309919363MaRDI QIDQ2107128

Fan Luo, Xin Si

Publication date: 1 December 2022

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/s40840-022-01420-y

zbMATH Keywords

iterated integralmultiple polylogarithm functionArakawa-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 (1)

Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function

Cites Work

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• Multiple harmonic series
• A new integral-series identity of multiple zeta values and regularizations
• Duality formulas for Arakawa-Kaneko zeta values and related variants
• 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
• MULTIPLE ZETA FUNCTIONS OF KANEKO-TSUMURA TYPE AND THEIR VALUES AT POSITIVE INTEGERS
• On functions of Arakawa and Kaneko and multiple zeta values

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