Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials

DOI10.1016/j.jnt.2010.11.005zbMath1262.11021OpenAlexW2017872122MaRDI QIDQ531837

Yoshinori Hamahata, Abdelmejid Bayad

Publication date: 20 April 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.11.005

zbMATH Keywords

Arakawa-Kaneko zeta functionsgeneralized Bernoulli numbers and polynomialspoly-Bernoulli numbers and polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Congruences; primitive roots; residue systems (11A07)

Related Items (17)

On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations ⋮ Incomplete poly-Cauchy numbers ⋮ Poly-Cauchy numbers with a \(q\) parameter ⋮ Some results on multiple polylogarithm functions and alternating multiple zeta values ⋮ Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials ⋮ On generalized poly-Bernoulli numbers and related \(L\)-functions ⋮ Poly-Euler polynomials and Arakawa-Kaneko type zeta functions ⋮ Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters ⋮ More properties on multi-poly-Euler polynomials ⋮ Explicit relations between multiple zeta values and related variants ⋮ Duality formulas for Arakawa-Kaneko zeta values and related variants ⋮ Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c ⋮ Multi Poly-Bernoulli and Multi Poly-Euler Polynomials ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function ⋮ MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS ⋮ Recursion formulas for poly-Bernoulli numbers and their applications ⋮ p-Bernoulli and geometric polynomials

Cites Work

• Poly-Bernoulli numbers
• On some integrals involving the Hurwitz zeta function. II
• POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Lectures on P-Adic L-Functions. (AM-74)
• The Arakawa-Kaneko zeta function
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