Abstract

Abstract We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s) n,m(x)- convolutions of the polynomials hn,m(x), and the sequence of numbers h(s) n,m- convolutions of the numbers hn,m, where s ≥ 0.

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