Bulletin of the
Korean Mathematical Society BKMS

Korobov type polynomials are introduced and extensively investigated many mathematicians (\cite{8,9,10,11,12,13,14}). 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, the degenerate unified Korobov typ

MSC numbers: Primary 11B68, 11B83, 11S30, 05A19, 05A40

Supported by: The present investigation was supported, by the Scientific Research Project Administration of Akdeniz University