Zeros of polynomials with four-term recurrence

Khang Tran, Andres Zumba

For any real numbers $b,c\in \mathbb{R}$, we form the sequence of polynomials ${\left\{H_m(z)\right\}}_{m=0}^{\infty }$ satisfying the four-term recurrence \[ H_{m}(z)+cH_{m-1}(z)+…