Bernoulli and poly-Bernoulli polynomial convolutions and identities of p-adic Arakawa–Kaneko zeta functions

DOI10.1142/S1793042116500792zbMath1345.11017OpenAlexW1885595234MaRDI QIDQ2810675

Paul Thomas Young

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1142/s1793042116500792

zbMATH Keywords

Bernoulli polynomialspoly-Bernoulli polynomials\(p\)-adic Arakawa-Kaneko zeta functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

A note on p-adic Raabe formulas ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ Generalized Arakawa-Kaneko zeta functions ⋮ Distribution of the primes involving the ceiling function ⋮ Fourier series of sums of products of poly-Bernoulli functions and their applications ⋮ The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

Cites Work

• Convolution identities for Bernoulli and Genocchi polynomials
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Sum Relations for Multiple Zeta Values
• A note on poly-Bernoulli numbers and multiple zeta values
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