Frobenious-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials

KURT B., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Greece, 19 - 25 September 2011, vol.1389, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 1389
  • Doi Number: 10.1063/1.3636743
  • City: Halkidiki
  • Country: Greece
  • Keywords: Bernoulli polynomials, Euler polynomials, Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Hermite-Apostol-Bernoulli polynomials, Frobenious-Euler polynomials, generating function, NUMBERS, ZETA
  • Akdeniz University Affiliated: Yes

Abstract

The aim of this paper is to define and investigate a new generating functions of the Frobenious-Euler polynomials and numbers. We establish some fundamental properties of these numbers and polynomials. We also derive relationship between these polynomials and Hermite-Apostol-Bernoulli polynomials and numbers. We also give some remarks and applications.