Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials

DOI10.1155/DDNS.2005.171zbMath1128.11009OpenAlexW2056668637MaRDI QIDQ2495103

Taekyun Kim, Seong-Hoon Rim, Lee-Chae Jang, Cheon Seoung Ryoo

Publication date: 30 June 2006

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128233

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (12)

A numerical computation on the structure of the roots of \((h,q)\)-extension of Genocchi polynomials ⋮ A numerical investigation on the structure of the zeros of Euler polynomials ⋮ Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials ⋮ A numerical investigation on the structure of the roots of \(q\)-Genocchi polynomials ⋮ Some relationships between the analogs of Euler numbers and polynomials ⋮ A numerical computation on the structure of the roots of \(q\)-extension of Genocchi polynomials ⋮ Calculating zeros of the \(q\)-Genocchi polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) ⋮ A note on generalized Euler numbers and polynomials ⋮ An invariant p-adic q-integral associated with q-Euler numbers and polynomials ⋮ Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials ⋮ Analytic continuation of Euler polynomials and the Euler zeta function ⋮ Zeros of analytic continued \(q\)-Euler polynomials and \(q\)-Euler zeta function

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