L. Dhaouadi

activity

20072021

q

-Bessel Fourier transform

17 citations · 40 across the 12 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.QA2012★ 4 cited

Jacobi operator, q-difference equation and orthogonal polynomials

Lazhar Dhaouadi, Mohamed Jalel Atia

In this paper, a link between $q$ -difference equations, Jacobi operators and orthogonal polynomials is given. Replacing the variable $x$ by $q^{- n}$ in a Sturm-Liouville $q$ -diffe…

math.FA2012★ 4 cited

$r$ -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 $D_{μ}$ constructed with the help of the cyclic group set of the $r^{t h}$ roots of unity. This operator constitute an $r$ -extension of the…

math.QA2012★ 1 cited

$q$ -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 $q$ -calculus. We introduce the $q$ -Macdonald function a newborne in the family of the $q$ -special functions…

Jacobi operator, q-difference equation and orthogonal polynomials

r-extension of Dunkl operator in one variable and Bessel functions of vector index

q-Bessel Fourier Transform and Variation Diminishing kernel

$r$ -extension of Dunkl operator in one variable and Bessel functions of vector index

$q$ -Bessel Fourier Transform and Variation Diminishing kernel