29 citations · 104 across the 60 of their papers we have counts for
6 papers · 1 filter
Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation
Luc Deleaval, Nizar Demni
In the first part of this paper, we express the generalized Bessel function associated with dihedral systems and a constant multiplicity function as a infinite series of confluent…
On a Neumann-type series for modified Bessel functions of the first kind
L. Deleaval, N. Demni
In this paper, we are interested in a Neumann-type series for modified Bessel functions of the first kind which arises in the study of Dunkl operators associated with dihedral grou…
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.…
Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples
Nizar Demni
For two families of beta distributions, we show that the generalized Stieltjes transforms of their elements may be written as elementary functions (powers and fractions) of the Sti…
Spectral distribution of large-size Brownian motions on the complex linear group
Nizar Demni, Tarek Hamdi
We show how the approach used in `N. Demni, T. Hmidi. Spectral Distribution of the Free unitary Brownian motion: another approach. Sem. Probab. XLIV. 2012. 191-206.' applies to des…
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Nizar Demni
Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already consi…