561 citations · 2.1k across the 60 of their papers we have counts for
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math-ph2010★ 19 cited
Generalized quantum isotonic nonlinear oscillator in d dimensions
Richard L. Hall, Nasser Saad, Ozlem Yesiltas
We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+ω^{2} r^{2}+2g{(r^{…
math-ph2010
Calculation of generalized Hubbell rectangular source integral
Jonathan Murley, Nasser Saad
A simple formula for computing the generalized Hubbell radiation rectangular source integral $$H[{a,b,p,λ\atop α,β,γ}]=\frac{σa}{4π}\int_0^b x^λ(x^2+p)^{-α}{}_2F_1(α,β;γ;-{a^2\over…
math-ph2010★ 49 cited
Physical applications of second-order linear differential equations that admit polynomial solutions
Hakan Ciftci, Richard L. Hall, Nasser Saad +1
Conditions are given for the second-order linear differential equation P3 y" + P2 y'- P1 y = 0 to have polynomial solutions, where Pn is a polynomial of degree n. Several applicati…