Unified Apostol-Korobov type polynomials and related polynomials
Bull. Korean Math. Soc. 2021 Vol. 58, No. 2, 315-326 https://doi.org/10.4134/BKMS.b200249 Published online September 11, 2020 Printed March 31, 2021
Burak Kurt Akdeniz University
Abstract : 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 type polynomials, the $q$-poly-Korobov polynomials, the $q$-poly-Korobov type Changhee polynomials
