3 papers
math.FA2026
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…
math.CO2025
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…
math.GM2025
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…