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http://dx.doi.org/10.4134/BKMS.b200249

UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS  

Kurt, Burak (Mathematics of Department Education of Faculty Akdeniz University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 315-326 More about this Journal
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.
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;
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