Convolutions of the generalized Morgan–Voyce polynomials

摘要

We consider the following classes of polynomials: Bn,m(s)(x),Cn,m(s)(x),bn,m(s)(x) and cn,m(s)(x), which are convolutions of the generalized Morgan–Voyce polynomials, where s is a nonnegative integer. These convolutions are related to the classical Morgan–Voyce, Chebyshev and Jacobsthal polynomials.