Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function
DOI10.36045/j.bbms.230326OpenAlexW4389222949MaRDI QIDQ6179261
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Publication date: 16 January 2024
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-30/issue-3/Parametric-Arakawa-Kaneko-zeta-function-and-Kaneko-Tsumura-eta-function/10.36045/j.bbms.230326.full
iterated integralsmultiple polylogarithm functionparametric Arakawa-Kaneko zeta functionparametric Kaneko-Tsumura \(\eta\)-function
Zeta and (L)-functions: analytic theory (11M99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Cites Work
- Multiple zeta values and Euler sums
- A new integral-series identity of multiple zeta values and regularizations
- Duality formulas for Arakawa-Kaneko zeta values and related variants
- A note on Arakawa-Kaneko zeta values and Kaneko-Tsumura \(\eta\)-values
- Variants of multiple zeta values with even and odd summation indices
- 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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