A new class of orthogonal polynomials

Stefan Kahler, Josef Obermaier

We consider random walk polynomial sequences $(P_n(x){)}_{n\in {\mathbb{N}}_0}\subseteq \mathbb{R}[x]$ given by recurrence relations of the form $P_0(x)=1$, $P_1(x)=x$ and $x P_n(x)=a_n…