Notes on the Poly-Korobov Polynomials and Related Polynomials

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KURT B.

FILOMAT, vol.34, no.2, pp.469-474, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2002469k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.469-474
  • Keywords: Bernoulli polynomials and numbers, Euler polynomials and numbers, Generating Function, Korobov polynomials, Korobov type Changhee polynomials, Poly-Bernoulli, Poly-Euler polynomials, Stirling numbers of the second kind, BERNOULLI, EULER
  • Akdeniz University Affiliated: Yes

Abstract

In recent years, many mathematicians ([2], [7], [8], [9], [15], [16], [21]) introduced and investigated for the Korobov polynomials. They gave some identities and relations for the Korobov type polynomials. In this work, we give some relations for the first kind Korobov polynomials and Korobov type Changhee polynomials. Further, we give two relations between the poly-Changhee polynomials and the poly-Korobov polynomials. Also, we give a relation among the poly-Korobov type Changhee polynomials, the Stirling numbers of the second kind, the Euler polynomials and the Bernoulli numbers.