المنشورات و المؤلفات

Abstract This work is devoted to the study of some functions arising from a limit transition of the Jackson q-Bessel functions when q tends to -1. These functions coincide with the so-called cas function for particular values of parameters. We prove...
Abstract The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel theorem.
Abstract In this paper we consider the differential-difference reflection operator associated with a finite cyclic group,  Y(v)f(x) = df(x)/dx + Sigma(m-1)(i-1)mv(i) + m - i/x Sigma(m-1)(j-1)epsilon(-ij) f(epsilon(j)x).  First we show that the...
In this paper, we first review the theory of Dunkl operators for complex reflection groups and then the theory of hyper-Bessel functions, which are a particular case of Meijer’s G-function and satisfy a higher order differential equation. Then we...