Frobenious-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials

KURT B., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1389
  • Doi Numarası: 10.1063/1.3636743
  • Basıldığı Şehir: Halkidiki
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Bernoulli polynomials, Euler polynomials, Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Hermite-Apostol-Bernoulli polynomials, Frobenious-Euler polynomials, generating function, NUMBERS, ZETA
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.