HERMITE-BERNOULLI 2D POLYNOMIALS

KURT B., Kurt V.

13th Regional Conference on Mathematical Physics, Antalya, Turkey, 27 - 31 October 2010, pp.61-70, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.61-70
  • Keywords: Apostol-Bernoulli polynomials, Hermite polynomials, Generalized Hermite polynomials, 2D Hermite polynomials, Hermite-Apostol-Bernoulli polynomials, APOSTOL-EULER POLYNOMIALS, APPELL POLYNOMIALS
  • Akdeniz University Affiliated: Yes

Abstract

In this work, we introduce and investigate the Hermite-Apostol-Bernoulli polynomials by means of a suitable generating function. We establish several interesting properties of these general polynomials. Furthermore, we prove Raabe relation and give some relations between 2-dimensional Hermite polynomials and Apostol-Bernoulli polynomials.