Meixner class of orthogonal polynomials of a non-commutative monotone Levy noise

Eugene Lytvynov, Irina Rodionova

Let $(X_t{)}_{t\ge 0}$ denote a non-commutative monotone Lévy process. Let $\omega =(\omega (t){)}_{t\ge 0}$ denote the corresponding monotone Lévy noise.. A continuous polynomial of $\omega$ is an eleme…