UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS
Bull. Korean Math. Soc. Published online September 11, 2020
Burak kurt
Akdeniz university
Abstract : Korobov type polynomials are introduced and extensively investigated many mathematicians ([8]-[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.
Keywords : Apostol-Bernoulli polynomials, Apostol-Euler polynomials, polylogarithms, Changhee polynomials, Stirling numbers of the second kind, the first kind Korobov polynomials, poly-Bernoulli polynomials, poly-Euler polynomials,