Abstract

In the paper [2], R. André-Jeannin studied a class of polynomials $U_{n}(p,q;x)$. In this paper we consider a new class of polynomials $U_{n,m}(p,q;x)$ and determine the coefficients $c_{n,k}(p,q)$ of these introduced polynomials. Also, we define the polynomials $f_{n,m}(p,q;x)$, which are the rising diagonal polynomials of $U_{n,m}(p,q;x)$.

Keywords: Fibonacci polynomilas, Pell polynomials, Fermat polynomilas, Morgan-Voyce polynomials, Chebyshev polynomials.

MSC: 33C55

Pages:  265--271     

Volume  49 ,  Issue  3$-$4 ,  1997