From the 3 of 7 linked papers with an AI index.
7 papers
Normal ordering in the -deformed generalized Weyl algebra. I: Algebraic Framework and Combinatorial Identities
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper builds an algebraic framework for normal ordering arbitrary words in the (p,q)-deformed generalized Weyl algebra, using Young diagrams to derive combinatorial identities…
Normal ordering in the -deformed generalized Weyl algebra. II: Interpretation in terms of rook placements
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper develops a (p,q)-deformed rook theory by applying normal ordering in a (p,q)-deformed generalized Weyl algebra, defining (p,q)-deformed s‑rook numbers and interpreting (p…
Normal ordering in the -deformed generalized Weyl algebra. III: The binomial formula
Toufik Mansour, Lahcen Oussi, Matthias Schork
The paper analyzes a (p,q)-deformed generalized Weyl algebra and derives a noncommutative binomial expansion (X+Y)^n, expressing the normal ordering coefficients via (p,q)-deformed…
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…
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…
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…