An analogue of eulerian polynomials related to L-type function

Araci S., Acikgoz M., Corcino R. B., Özel C.

Maejo International Journal of Science and Technology, vol.9, no.2, pp.246-254, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 2
  • Publication Date: 2015
  • Journal Name: Maejo International Journal of Science and Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.246-254
  • Keywords: p-adic fermionic q-integral on Z(p), Eulerian polynomials, contour integral, L-function, Dirichlet character, HIGHER-ORDER, Q-EXTENSION, IDENTITIES, BERNOULLI, NUMBERS, INTEGRALS
  • Dokuz Eylül University Affiliated: No

Abstract

© 2015 by Maejo University, San Sai, Chiang Mai, 50290 Thailand.We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic g-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation based on the generating function of Dirichlet's type of twisted Eulerian polynomials, we get L-type function which interpolates for Dirichlet's type of Eulerian polynomials at negative integers.