APPLIED MATHEMATICS LETTERS, vol.21, no.9, pp.934-939, 2008 (SCI-Expanded)
Article / Article
APPLIED MATHEMATICS LETTERS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
p-adic Volkenborn integral, Twisted q-Euler numbers and polynomials, Zeta and l-functions
Akdeniz University Affiliated:
In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers. (c) 2007 Elsevier Ltd. All rights reserved.