Abstract:
In this study, we investigate the polynomials for n≥2 and positive integers k and a positive real number a, with the initial values G0(x)=−a , G1(x)=x−a
G(k)n+2(x)=xkG(k)n+1(x)+G(k)n(x).
We give some fundamental properties related to them. Also, we obtain asymptotic results for the roots of polynomials G(k)n(x) .