On the Vieta–Jacobsthal-like polynomials

Abstract

In this paper, we first introduce the generalization of the Vieta-Jacobsthal polynomial, which is called the Vieta-Jacobsthal-like polynomial. After that, we give the generating function, the Binet formula, and some well-known identities for this polynomial. Finally, we also present the relation between this polynomial and the previously famous Vieta-polynomials.