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
Interpolation function of the -extension of twisted Euler numbers
β Scribed by Hacer Ozden; Yilmaz Simsek
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 302 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In [H. Ozden, Y. Simsek, I.N. Cangul, Generating functions of the (h, q)-extension of Euler polynomials and numbers, Acta Math. Hungarica, in press (
π SIMILAR VOLUMES
We define generating functions of q-generalized Euler numbers and polynomials and twisted q-generalized Euler numbers and polynomials. By using these functions, we give some properties of these numbers. We construct a complex twisted l q -functions which interpolate twisted qgeneralized Euler number
An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, erro
The L-function of a non-degenerate twisted Witt extension is proved to be a polynomial. Its Newton polygon is proved to lie above the Hodge polygon of that extension. And the Newton polygons of the Gauss-Heilbronn sums are explicitly determined, generalizing the Stickelberger theorem.