Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials


Özkan E. , Uysal M. , Kuloğlu B.

Asian-European Journal of Mathematics, pp.22501194, 2021 (Journal Indexed in ESCI)

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1142/s1793557122501194
  • Title of Journal : Asian-European Journal of Mathematics
  • Page Numbers: pp.22501194

Abstract

We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with CJk,nlby using Hankel transform. Then we define the incomplete h(x)-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials.