Fatma Ayadi

most citedOpdam's hypergeometric functions: product formula and convolution structure in dimension 1

34 citations · 38 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2010★ 34 cited

Opdam's hypergeometric functions: product formula and convolution structure in dimension 1

Jean-Philippe Anker, Fatma Ayadi, Mohamed Sifi

Let $G_{λ}^{(α, β)}$ be the eigenfunctions of the Dunkl-Cherednik operator $T^{(α, β)}$ on $R$ . In this paper we express the product $G_{λ}^{(α, β)} (x) G_{λ}^{(α, β)} (y)$ as an integ…

math.AP2008★ 4 cited

Equipartition of energy for the wave equation associated to the Dunkl-Cherednik Laplacian

Fatma Ayadi

This paper is concerned with energy properties of the wave equation associated to the Dunkl-Cherednik Laplacian. We establish the conservation of the total energy, the strict equip…