561 citations · 2.1k across the 60 of their papers we have counts for
53 papers · 1 filter
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…
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…
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, \…
A Note on the Generalized and Universal Associated Legendre Equations
Keegan L. A. Kirk, Kyle R. Bryenton, Nasser Saad
A class of second-order differential equations commonly arising in physics applications are considered, and their explicit hypergeometric solutions are provided. Further, the relat…
Exact and approximate solutions of Schrödinger's equation with hyperbolic double-well potentials
Richard L. Hall, Nasser Saad
Analytic and approximate solutions for the energy eigenvalues generated by the hyperbolic potentials are constructed.…