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Title: On the solutions of linear differential equations with polynomial coefficients
Date: 2016
Author: Alshammari, Khalid
Genre: Dissertation/Thesis
Thesis Supervisor: Saad, Nasser
Publisher: University of Prince Edward Island
Publication Status: PUBLISHED




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Title: On the solvability of confluent Heun equation and associated orthogonal polynomials
Source: arXiv
Date: 2015
Author: Saad, Nasser
Genre: Journal Article
Volume: 1509.00090




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Title: Solvable potentials with exceptional orthogonal polynomials
Source: Annalen der Physik
Date: 2015
Author: Arsenault, Ashley; Opps, Sheldon; Saad, Nasser
Genre: Journal Article
Volume: 528
Issue: 3-4
Start Page: 321
DOI: 10.1002/andp.201500255




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Title: On some formulas for the Appell function F3 (a,a′, b, b′; c; w,z)
Source: Integral Transforms and Special Functions
Date: 2015
Author: Brychkov, Yu. A.; Saad, Nasser
Genre: Journal Article
Volume: 26
Issue: 11
Start Page: 910
DOI: 10.1080/10652469.2015.1068305




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Title: Generalized 2D Laguerre polynomials and their quaternionic extensions
Source: arXiv
Date: 2015
Author: Saad, Nasser; Thirulogasanthar, K.
Genre: Journal Article
Abstract: The analogous quaternionic polynomials of a class of bivariate orthogonal polynomials (arXiv: 1502.07256, 2014) introduced. The ladder operators...
Volume: 1506.08912v1




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Title: Polynomial solutions for a class of second-order linear differential equations
Source: Applied Mathematics & Computation
Date: 2014
Author: Saad, Nasser; Hall, Richard L.; Trenton, Victoria A.
Genre: Journal Article
Abstract: We analyze the polynomial solutions of the linear differential equation where is a -degree polynomial. We discuss all the possible polynomial...
Volume: 226
Start Page: 615
DOI: 10.1016/j.amc.2013.10.056




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Title: On W. Gordon’s integral (1929) and related identities
Source: ArXiv
Date: 2014
Author: Saad, Nasser
Genre: Journal Article
Abstract: Analytic evaluation of Gordon's integral Jj(±p)c(b,b′;λ,w,z)=∫∞0xc+j−1e−λx1F1(b;c;wx)1F1(b′;c±p;zx)dx, are given along with convergence conditions....
Volume: 1406.5079




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Title: Soft and hard confinement of a two-electron quantum system
Source: arXiv
Date: 2014
Author: Hall, Richard L.; Saad, Nasser; Sen, K.D.
Genre: Journal Article
Abstract: A model physical problem is studied in which a system of two electrons is subject either to soft confinement by means of attractive oscillator...
Volume: 1411.2060




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Title: Spectra generated by a confined softcore Coulomb potential
Source: Journal of Mathematical Physics
Date: 2014
Author: Hall, Richard L. ; Saad, Nasser
Genre: Journal Article
Volume: 55
DOI: 10.1063/1.4890289




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Title: On some formulas for the Appell function F2(a,b,b′;c,c′;w;z)
Source: Integral Transforms and Special Functions
Date: 2014
Author: Brychkov, Yu. A.; Saad, Nasser
Genre: Journal Article
Volume: 25
Issue: 2
Start Page: 111




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Title: Casimir force in warped higher dimensional models
Source: Applied and Computational Mathematics
Date: 2014
Author: Aliev, T. M.; Saad, N.; Turan, I.
Genre: Journal Article
Volume: 13
Issue: 2
Start Page: 147




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Title: Polynomial solutions for a class of second-order linear differential equations
Source: Applied Mathematics and Computation
Date: 2014
Author: Saad, Nasser; Hall, Richard L.; Trenton, Victoria A.
Genre: Journal Article
Abstract: We analyze the polynomial solutions of the linear differential equation p2(x)y″+p1(x)y′+p0(x)y=0 where pj(x) is a jth-degree polynomial. We discuss...
Volume: 226
Start Page: 615




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Title: Exact and approximate solutions of Schrödinger’s equation for a class of trigonometric potentials
Source: Central European Journal of Physics
Date: 2013
Author: Ciftci, Hakan; Hall, Richard L.; Saad, Nasser
Genre: Journal Article
Abstract: The asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional...
Volume: 11
Issue: 1
Start Page: 37
DOI: 35400061518271.0012




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Title: Exact and approximate solutions to Schrodinger’s equation with decatic potentials
Source: Central European Journal of Physics
Date: 2013
Author: Brandon, David; Saad, Nasser
Genre: Journal Article
Abstract: The one-dimensional Schr ̈odinger’s equation is analysed w ith regard to the existence of exact solutions for decatic polynomial potentials. Under...
Volume: 11
Issue: 3
Start Page: 279




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Title: Casimir force in warped higher dimensional models survey
Source: Applied and Computational Mathematics
Date: 2013
Author: Aliev, T. M.; Saad, Nasser; Turan, I.
Genre: Journal Article
Volume: 13
Issue: 2
Start Page: 147




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Title: On some polynomial potentials in d-dimensions
Source: Journal of Mathematical Physics
Date: 2013
Author: Brandon, David ; Saad, Nasser; Dong, Shi-Hai
Genre: Journal Article
Abstract: The d-dimensional Schrödinger's equation is analyzed with regard to the existence of exact solutions for polynomial potentials. Under certain...
Volume: 54
Issue: 8
Start Page: 082106
DOI: 10.1063/1.4817857




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Title: Quantum information entropies for an asymmetric trigonometric Rosen–Morse potential
Source: Annalen der Physik
Date: 2013
Author: Sun, Guo-Hua ; Dong, Shi-Hai ; Saad, Nasser
Genre: Journal Article
Abstract: Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric Rosen–Morse potential for the ground and first excited...
Volume: Article first published online: 22 JUL 2013
DOI: 10.1002/andp.201300089




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Title: 2D-Zernike polynomials and coherent state quantization of the unit disc
Source: arXiv
Date: 2013
Author: Thirulogasanthar, K. ; Saad, Nasser ; Honnouvo, G.
Genre: Journal Article
Abstract: Using the orthonormality of the 2D-Zernike polynomials reproducing kernels, reproducing kernel Hilbert spaces and ensuing coherent states are...
Volume: 1303.5483v2




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Title: Some formulas for the Appell function F 1 (a, b, b′; c; w, z)
Source: Integral Transforms and Special Functions
Date: 2012
Author: Brychkova, Yu. A. ; Saad, Nasser
Genre: Journal Article
Abstract: Some new relations for the Appell function F 1 (a, b, b′; c; w, z) are obtained including differentiation and integration formulas, integral...
Volume: 23
Issue: 11
Start Page: 793
DOI: 10.1080/10652469.2011.636651




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Title: Discrete spectra for confined and unconfined-a/r+ br^ 2 potentials in d dimensions
Source: Journal of Mathematical Physics
Date: 2011
Author: Hall, R. L.; Saad, N.; Sen, KD
Genre: Journal Article
Volume: 52
Start Page: 092103

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