A note on \(q\)-Euler numbers associated with the basic \(q\)-zeta function

DOI10.1016/j.aml.2006.04.019zbMath1209.11029OpenAlexW2070170251MaRDI QIDQ1001088

Taekyun Kim, Seong-Hoon Rim

Publication date: 12 February 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.04.019

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) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials, On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions, A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ASSOCIATED WITH q-CHANGHEE NUMBERS, On multiple interpolation functions of the \(q\)-Genocchi polynomials, Complete sum of products of (h,q)-extension of Euler polynomials and numbers, A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions, On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials, On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials

Cites Work

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• \(q\)-Volkenborn integration
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• Some formulae for the \(q\)-Bernoulli and Euler polynomials of higher order
• Exploring the multiple Changheeq-Bernoulli polynomials
• p-adicq-integrals associated with the Changhee–Barnes'q-Bernoulli polynomials