Zeros of GKP sequences of polynomials

Antonio J. Durán, Mario Pérez, Juan L. Varona

Given two sequences $\varphi =({\varphi }_i{)}_{i\ge 1}$ and $\psi =({\psi }_i{)}_{i\ge 1}$ and numbers $a,b,c$, we introduce the GKP sequence of polynomials $(p_n{)}_n$ using the following recurrence formula: $p…