21 citations · 25 across the 3 of their papers we have counts for
3 papers
math.CA2017
Trajectories of a quadratic differential related to a quasi-exactly solvable sextic oscillator
Mohamed Jalel Atia, Wafaa Karrou, Mondher Chouikhi +1
In this paper, we discuss the existence of solution (as Cauchy transform of a signed measure) of a particular algebraic quadratic equation of the form $\mathcal{C}^{2}\left( z\righ…
math.CA2015★ 21 cited
Zeros of polynomials orthogonal with respect to a signed weight
M. Benabdallah, M. J. Atia, R. S. Costas-Santos
In this paper we consider the polynomial sequence that is orthogonal on with respect to the weight function $x^{2q+1}(1-x^{2})^α(1-x), α>-1, q\in \mathb…
math.QA2012★ 4 cited
Jacobi operator, q-difference equation and orthogonal polynomials
Lazhar Dhaouadi, Mohamed Jalel Atia
In this paper, a link between -difference equations, Jacobi operators and orthogonal polynomials is given. Replacing the variable by in a Sturm-Liouville -diffe…