Analytic continuation of multi-variable Arakawa-Kaneko zeta function for positive indices and its values at positive integers

DOI10.7169/FACM/1974zbMath1486.11104OpenAlexW3205363861MaRDI QIDQ2075026

Kunihiro Ito

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1974

zbMATH Keywords

multiple zeta valuesArakawa-Kaneko zeta functionmulti-indexed poly-Bernoulli numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

MULTIPLE ZETA FUNCTIONS OF KANEKO-TSUMURA TYPE AND THEIR VALUES AT POSITIVE INTEGERS

Cites Work

• An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers
• Poly-Bernoulli numbers
• Duality/sum formulas for iterated integrals and their application to multiple zeta values
• Iterated integrals on \(\mathbb{P}^1 \setminus \{0, 1, \infty, z \}\) and a class of relations among multiple zeta values
• A FORMULA FOR MULTI-POLY-BERNOULLI NUMBERS OF NEGATIVE INDEX
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
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