12 citations · 23 across the 19 of their papers we have counts for
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Intertwining operator associated to the complex Dunkl operator of type
Fethi Bouzeffour, Sami Ghazouani
In this work, we consider the Dunkl complex reflection operators related to the group in the complex plane \begin{align*} T_i=\frac{\partial}{\partial z_i}+k_0\sum_{j\ne…
On the zeros of the big -Bessel functions and applications
Fethi Bouzeffour, Hanen Ben Mansour
This paper deals with the study of the zeros of the big -Bessel functions. In particular, we prove a new orthogonality relations for this functions similar to the one for the cl…
A Fractional Power for Dunkl Transforms in
Sami Ghazouani, Fethi Bouzeffour
A new fractional version of the Dunkl transform for real order is obtained. An integral representation, a Bochner type identity and a Master formula for this transform are deri…
New addition formula for the little -Bessel functions
Fethi Bouzeffour
Starting from the addition formula for little -Jacobi polynomials, we derive a new addition formula for the little -Bessel functions. The result is obtained by the use of a l…
Jackson's -Bessel functions with the Askey-Wilson algebra setting
Fethi Bouzeffour
The aim of this work is to study new functions arising from the limit transition of the Jackson's -Bessel functions when . These functions coincide with the $ca…
Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Fethi Bouzeffour
In this paper, we introduce a new differential-difference operator by using projections associated to orthogonal subsystems in root systems. Similarly t…