Some relations on the degenerate Korobov polynomials and poly-Korobov polynomials

KURT B.

Indian Journal of Pure and Applied Mathematics, vol.55, no.2, pp.628-638, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1007/s13226-023-00393-3
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.628-638
  • Keywords: Bernoulli polynomials and numbers, Euler polynomials and numbers, The first kind Korobov polynomials, Korobov-type Changhee polynomials, Polylogarithms, Poly-Bernoulli polynomials, Stirling numbers of the second kind, Poly-Korobov type Changhee polynomials, Degenerate Korobov polynomials, r-Whitney numbers of the first kind and second kind
  • Akdeniz University Affiliated: Yes

Abstract

In last ten years, many mathematicians ([4, 8–16]) studied and investigated for the Korobov polynomials. In this work, we consider the poly-Korobov polynomials, the poly-Korobov-type Changhee polynomials and the degenerate Korobov polynomials. We give some explicit relations between Korobov polynomials and Bernoulli, Euler polynomials. We consider the degenerate Korobov polynomials and give recurrence relation for these polynomials. Also, we give some identities between the Korobov polynomials and the second kind Whitney numbers.