Title of article
On the Dirichlet’s type of Eulerian polynomials
Author/Authors
Araci, Serkan Hasan Kalyoncu University - Faculty of Economics, Administrative and Social Science - Department of Economics,, Turkey , Acikgoz, Mehmet University of Gaziantep - Faculty of Arts and Science - Department of Mathematics, Turkey , Ağyüz, Erkan University of Gaziantep - Faculty of Arts and Science - Department of Mathematics, Turkey
From page
1
To page
5
Abstract
In the present paper, we introduce the Eulerian polynomials attached to χ using p-adic q-integral on Zp. Also, we give some new interesting identities via the generating functions of Dirichlet’s type of Eulerian polynomials. In addition, by applying Mellin transformation to the generating function of Dirichlet’s type of Eulerian polynomials, we define Eulerian L type function which interpolates Dirichlet’s type of Eulerian polynomials at negative integers.
Keywords
Eulerian polynomials . p , adic q , integral on Zp . Mellin transformation . L function
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569117
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