Root geometry of polynomial sequences II: Type (1,0)

J. L. Gross, T. Mansour, T. W. Tucker +1

We consider the sequence of polynomials $W_n(x)$ defined by the recursion $W_n(x)=(ax+b)W_{n-1}(x)+d{W}_{n-2}(x)$, with initial values $W_0(x)=1$ and $W_1(x)=t(x-r)$, where $a,b,d,t,…