561 citations · 2.1k across the 60 of their papers we have counts for
60 papers
Incomplete Symmetric Orthogonal Polynomials of Finite Type Generated by a Generalized Sturm-Liouville Theorem
Mohammad Masjed-Jamei, Zahra Moalemi, Nasser Saad
In a classical case, orthogonal polynomial sequences are in such a way that the th polynomial has the exact degree . Such sequences are complete and form a basis of the spa…
On Polynomial Solutions of Linear Differential Equations with Applications
Kyle R. Bryenton1, Andrew R. Cameron, Keegan L. A. Kirk +3
The analysis of many physical phenomena can be reduced to the study of solutions of differential equations with polynomial coefficients. In the present work, we establish the neces…
The Asymptotic Iteration Method Revisited
Mourad E. H. Ismail, Nasser Saad
The Asymptotic Iteration Method (AIM) is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems th…
A discrete and Asymptotic Iteration Method
Mourad E. H. Ismail, Nasser Saad
We introduce a finite difference and -difference analogues of the Asymptotic Iteration Method of Ciftci, Hall, and Saad. We give necessary, and sufficient condition for the exis…
Exact normalized eigenfunctions for general deformed Hulthén potentials
Richard L. Hall, Nasser Saad, K. D. Sen
The exact solutions of Schrödinger's equation with the deformed Hulthén potential are given, along with a closed--form form…
The -dimensional softcore Coulomb potential and the generalized confluent Heun equation
Richard L Hall, Nasser Saad, Kyle R. Bryenton
An analysis of the generalized confluent Heun equation in -dimensional space, where $\{α_i, β_i, \…