A new extension of q-Euler numbers and polynomials related to their interpolation functions
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Date
2008-10
Authors
Şimşek, Yılmaz
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-Elsevier Science
Abstract
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.
Description
Keywords
P-adic Volkenborn integral, Twisted q-Euler numbers and polynomials, Zeta and l-functions, Function evaluation, Interpolation, Polynomial approximation, Dirichlet, Euler numbers, Generating functions, Interpolation functions, Mellin transformation, Negative integers, New approaches, Zeta functions, Polynomials
Citation
Özden, H. ve Şimşek, Y. (2008). ''A new extension of q-Euler numbers and polynomials related to their interpolation functions''. Applied Mathematics Letters, 21(9), 934-939.