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A new extension of -Euler numbers and polynomials related to their interpolation functions

✍ Scribed by Hacer Ozden; Yilmaz Simsek

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
216 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 Ο‡. 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.

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