I. Rodionova

activity

20082016

collaborators

3 papers

math.PR2016

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

Eugene Lytvynov, Irina Rodionova

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

math.PR2013

An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions

Marek Bozejko, Eugene Lytvynov, Irina Rodionova

Let $ν$ be a finite measure on $R$ whose Laplace transform is analytic in a neighborhood of zero. An anyon Lévy white noise on $(R^{d}, d x)$ is a certain family of non…

math.PR2008

Lowering and raising operators for the free Meixner class of orthogonal polynomials

Eugene Lytvynov, Irina Rodionova

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.