561 citations · 2.1k across the 60 of their papers we have counts for
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math-ph2013★ 1 cited
Polynomial solutions for a class of second-order linear differential equations
Nasser Saad, Richard L. Hall, Victoria A. Trenton
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomial. We discuss all the possib…
math-ph2013★ 1 cited
2D-Zernike polynomials and coherent state quantization of the unit disc
K. Thirulogasanthar, Nasser Saad, G. Honnouvo
Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtain…
math-ph2013★ 18 cited
Exact and approximate solutions to Schroedinger's equation with decatic potentials
David Brandon, Nasser Saad
The one-dimensional Schroedinger's equation is analysed with regard to the existence of exact solutions for decatic polynomial potentials. Under certain conditions on the potential…