UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.58, no.2, pp.315-326, 2021 (SCI-Expanded)
- 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.