A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers

KURT B.

Filomat, cilt.37, sa.19, ss.6307-6317, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 19
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2319307k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.6307-6317
  • Anahtar Kelimeler: The Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, Fubini polynomials, Generalized Stirling numbers of the second kind, Parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials, The Three-variable unified Apostol-type Bernoulli, Quasi-monomial princible
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In recent years, mathemacians ([1], [3], [5], [22], [23]) introduced and investigated the Fubini Apostol-type numbers and polynomials. They gave some recurrence relations explicit properties and identities for these polynomials. In [12], author considered unified degenerate Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials and gave some relations and identities for these polynomials. In this article, we consider a parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. By using the monomiality principle, we give some relations for the parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. Furthermore, we give summation formula for these polynomials.