Classification of 2-Orthogonal Polynomials with Brenke Type Generating Functions

Hamza Chaggara, Abdelhamid Gahami

The Brenke type generating functions are the polynomial generating functions of the form $$\sum _{n=0}^{\infty }\frac{P_n(x)}{n!}{t}^n=A(t)B(xt),$$ where $A$ and $B$ are two formal po…