33 citations
- Centre National de la Recherche ScientifiqueFR6 papers
- École Nationale d'Ingénieurs de GabèsTN3 papers
- Lyon 1 UniversitéFR3 papers
- University of GafsaTN3 papers
- A. Alikhanyan National LaboratoryAM2 papers
- Argonne National LaboratoryUS2 papers
- California State University, Dominguez HillsUS2 papers
- Canisius CollegeUS2 papers
- Carnegie Mellon UniversityUS2 papers
- Catholic University of AmericaUS2 papers
- CEA Paris-SaclayFR2 papers
- Christopher Newport UniversityUS2 papers
7 papers · 1 filter
Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential
Mondher Chouikhi, Faouzi Thabet
In this paper, we study the weak asymptotic in the plane of some wave functions resulting from the WKB techniques applied to a Shrodinger equation with quartic oscillator and havin…
On the existence of short trajectories of quadratic differentials related to generalized Jacobi polynomials with non real varying parameters
Mondher Chouikhi, Faouzi Thabet
The study of the asymptotic distributions of zeros of generalized Jacobi polynomials with non real varying parameters, leads with quadratic differentials. In fact, the support of t…
Quadratic differentials A(z-a)(z-b)dz^2/(z-c)^2 and algebraic Cauchy transform
Mohamed Jalel Atia, Faouzi Thabet
In this paper, we discuss the representability almost everywhere (a.e.) in the plane of an irreducible algebraic function as the Cauchy transform of a signed measure supported on a…
Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters
M. J. Atia, A. Martinez-Finkelshtein, P. Martinez-Gonzalez +1
In this paper we study the asymptotics (as ) of the sequences of Laguerre polynomials with varying complex parameters depending on the degree . More precisely,…
An explicit formula for the linearization coefficients of Bessel polynomials
Mohamed Jalel Atia, Jiang Zeng
We prove a single sum formula for the linearization coefficients of the Bessel polynomials. In two special cases we show that our formula reduces indeed to Berg and Vignat's formul…
The holonomy group at infinity of the Painleve VI Equation
Bassem Ben Hamed, Lubomir Gavrilov, Martine Klughertz
We prove that the holonomy group at infinity of the Painleve VI equation is virtually commutative.