7 citations · 8 across the 6 of their papers we have counts for
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Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type
B. Amri, A. Guesmi
In this paper, we investigate the trigonometric Heckman-Opdam polynomials of type . We establish connections with ultraspherical polynomials and derive an explicit expression…
Product formula for one-dimensional -generalized Fourier kernel
Bechir Amri
In this paper, a product formula for the one-dimensional -generalized Fourier kernel is given for , and , extending the special case when $a=\frac{2}{n…
About integral product formula for Jack polynomials of two variables
Béchir Amri
We present an integral product formula for Jack polynomials of two variables, extending that of zonal polynomials. It provides another way to find the explicit integral representat…
estimates for the solution of the Dunkl wave equation
Béchir Amri, Mohamed Gaidi
In this paper, our main aim is to derive estimates of the solution ( t fixed) of the Cauchy problem for the homogeneous linear wave equation associated to the…
estimates for an oscillating Dunkl multiplier
Béchir Amri, Mohamed Gaidi
In this paper, we study the boundedness of a class of oscillating multiplier operator for the Dunkl transform, with $m(ξ)=|ξ…
Laplace-type integral representations of the generalized Bessel function and of the Dunkl kernel of type
Bechir Amri, Nizar Demni
In this paper, we derive a Laplace-type integral representations for both the generalized Bessel function and the Dunkl kernel associated with the rank-two root system of type B_2.…