UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS

KURT B.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.58, no.2, pp.315-326, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.4134/bkms.b200249
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.315-326
  • Keywords: Apostol-Bernoulli polynomials, Apostol-Euler polynomials, poly-logarithms, Changhee polynomials, Stirling numbers of the second kind, the first kind Korobov polynomials, poly-Bernoulli polynomials, poly-Euler polynomials, the degenerate unified Korobov type polynomials, the q-poly-Korobov polynomials, the q-poly-Korobov type Changhee polynomials
  • Akdeniz University Affiliated: Yes

Abstract

Korobov type polynomials are introduced and extensively investigated many mathematicians ([1,8-10,12-14]). In this work, we define unified Apostol Korobov type polynomials and give some recurrences relations for these polynomials. Further, we consider the q-poly Korobov polynomials and the q-poly-Korobov type Changhee polynomials. We give some explicit relations and identities above mentioned functions.