Generating functions of the (h, q) extension of twisted Euler polynomials and numbers

CANGÜL İ. N., Ozden H., Simsek Y.

ACTA MATHEMATICA HUNGARICA, vol.120, no.3, pp.281-299, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 120 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.1007/s10474-008-7139-1
  • Journal Name: ACTA MATHEMATICA HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.281-299
  • Bursa Uludag University Affiliated: Yes

Abstract

By using p-adic q-deformed fermionic integral on Z(p), we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying Mellin transformation and derivative operator to these functions; we define twisted (h, q)-extension of zeta functions and 1-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.