17 citations · 40 across the 12 of their papers we have counts for
12 papers
Bilateral Birth and death process in quantum calculus
Lazhar Dhaouadi
In this paper I shall give the complete solution of the equations governing the bilateral birth and death process on path set in which t…
Jacobi operator, q-difference equation and orthogonal polynomials
Lazhar Dhaouadi, Mohamed Jalel Atia
In this paper, a link between -difference equations, Jacobi operators and orthogonal polynomials is given. Replacing the variable by in a Sturm-Liouville -diffe…
-extension of Dunkl operator in one variable and Bessel functions of vector index
Ahmed Fitouhi, Lazhar Dhaouadi, Fethi Bouzeffour
In this work we present an operator constructed with the help of the cyclic group set of the roots of unity. This operator constitute an -extension of the…
-Bessel Fourier Transform and Variation Diminishing kernel
Lazhar Dhaouadi, Saidani Islem, Hedi Elmonser
In this paper we study the variation diminishing kernel as a part of the -calculus. We introduce the -Macdonald function a newborne in the family of the -special functions…
On the -Bessel Fourier transform
Lazhar Dhaouadi
In this work, we are interested by the -Bessel Fourier transform with a new approach. Many important results of this -integral transform are proved with a new constructive de…
Applications of the q-Fourier Analysis to the Symmetric Moment Problem
Lazhar Dhaouadi
Sufficient condition for the symmetric moment problem to be determinate is given using standards methods of -Fourier analysis. This condition it cannot be a particular case of C…