On Generating Functions for the Special Polynomials

ŞİMŞEK Y.

FILOMAT, cilt.31, sa.1, ss.9-16, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1701009s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9-16
  • Anahtar Kelimeler: Euler numbers, Euler polynomials, Frobenius-Euler numbers, Frobenius-Euler polynomials, Apostol-Bernoulli polynomials, Apostol-Bernoulli numbers, Generating functions, APOSTOL-BERNOULLI, Q-EXTENSIONS, EULER, NUMBERS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to investigate and give a new family of Apell type polynomials, which are related to the Euler, Frobenius-Euler and Apostol-Bernoulli polynomials and numbers and also the generalized Stirling numbers of the second kind etc. The results presented in this paper are based upon the theory of the generating functions. By using functional equations of these generating functions, we drive some identities and relations for these numbers and polynomials. Moreover, we give a computation algorithm these numbers.