3 citations · 5 across the 9 of their papers we have counts for
9 papers
Normal ordering in the -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities
Toufik Mansour, Lahcen Oussi, Matthias Schork
The -deformed generalized Weyl algebra is generated by variables and which satisfy the commutation relations , and ,…
Normal ordering in the -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements
Toufik Mansour, Lahcen Oussi, Matthias Schork
In this paper, we investigate the combinatorial structure arising from the -deformed generalized Weyl algebra generated by variables , and , satisfying the $(p,…
Normal ordering in the -deformed generalized Weyl algebra. III: The binomial formula
Toufik Mansour, Lahcen Oussi, Matthias Schork
We study the -deformed generalized Weyl algebra generated by variables and satisfying the -commutation relations , and $…
Distribution for nonsymmetric V-monotone position operators
Adrian Dacko, Lahcen Oussi
We investigate the vacuum distribution of a family of partial sums of nonsymmetric position operators, depending on a real parameter , and acting on the discrete Fock space in t…
A Poisson Type Operator Deformed by Generalized Fibonacci Numbers and Its Combinatorial Moment Formula
Nobuhiro Asai, Marek Bożejko, Lahcen Oussi +1
We introduce a two-parameter deformation of the classical Poisson distribution from the viewpoint of noncommutative probability theory, by defining a -Poisson type operator…
New type degenerate Simsek numbers and related aspects
Lahcen Oussi
In this paper, we introduce a new type degenerate Simsek numbers and their generating function, which are different from degenerate Simsek number studied so far. We establish the e…
General limit theorems for mixtures of free, monotone, and boolean independence
David Jekel, Lahcen Oussi, Janusz Wysoczański
We study mixtures of free, monotone, and Boolean independence described by a directed graph in the context of -free convolutions of Jekel and Liu. We prove…
Analogues of Poisson type limit theorems in discrete bm-Fock spaces
Lahcen Oussi, Janusz Wysoczański
We present analogues of the Poisson limit distribution for the noncommutative bm-independence, which is associated with several positive symmetric cones. We construct related discr…
-analogues of the generalized Touchard polynomials and Stirling numbers
Lahcen Oussi
In this paper we introduce a -deformed analogues of the generalized Touchard polynomials and Stirling numbers, the post-quantum analogues of the -deformed generalized To…