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Title
Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem
Source
Journal of Mathematical Physics
Date
2020
Author
Masjed-Jamei, Mohammad; Moalemi, Zahra; Saad, Nasser
Genre
Journal Article
Abstract
In a classical case, orthogonal polynomial sequences are in such a way that the nth polynomial has the exact degree n. Such sequences are complete...
Volume
61
Issue
2
Start Page
023501
DOI
10.1063/1.5124117
Full Text
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Title
On the fractional order Rodrigues formula for the shifted Legendre-type matrix polynomials
Source
Mathematics
Date
2020
Author
Zayed, Mohra; Abul-Ez, Mahmoud; Abdalla, Mohamed; Saad, Nasser
Genre
Journal Article
Volume
8
Issue
1
Start Page
136
DOI
10.3390/math8010136
Publication Status
PUBLISHED
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Title
The asymptotic iteration method revisited
Source
Journal of Mathematical Physics
Date
2020
Author
Ismail, Mourad E. H.; Saad, Nasser
Genre
Journal Article
Abstract
The asymptotic iteration method is a technique for solving analytically and approximately the linear second-order differential equation, especially...
Volume
61
Issue
3
Start Page
033501
DOI
10.1063/1.5117143
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Title
Exact solutions of a nonpolynomial oscillator related to isotonic oscillator
Source
The European Physical Journal Plus
Date
2019
Author
Dong, Qian; Sun, Guo-Hua; Saad, N.; Dong, Shi-Hai
Genre
Journal Article
Volume
134
Issue
11
Start Page
562
DOI
10.1140/epjp/i2019-12980-7
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Title
Analytical approximations to nonlinear oscillation of nanoelectro-mechanical resonators
Source
The European Physical Journal Plus
Date
2019
Author
Ismail, G. M.; Abul-Ez, M.; Farea, N. M.; Saad, N.
Genre
Journal Article
Volume
134
Start Page
47
DOI
10.1140/epjp/i2019-12399-2
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Title
The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation
Source
arXiv
Date
2018
Author
Hall, Richard L.; Nasser, Nasser; Bryenton, Kyle R.
Genre
Journal Article
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Title
The d -dimensional softcore Coulomb potential and the generalized confluent Heun equation
Source
Journal of Mathematical Physics
Date
2018
Author
Hall, Richard L.; Saad, Nasser; Bryenton, Kyle R.
Genre
Journal Article
Volume
59
Issue
10
Start Page
102105
DOI
10.1063/1.5035357
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Title
Exact normalized eigenfunctions for general deformed Hulth´en potentials
Source
ArXiv
Date
2018
Author
Hall, Richard L.; Saad, Nasser; Sen, K.D.
Genre
Journal Article
Volume
1812.06383v1
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Title
Exact normalized eigenfunctions for general deformed Hulthén potentials
Source
Journal of Mathematical Physics
Date
2018
Author
Hall, Richard L.; Saad, Nasser; Sen, K. D.
Genre
Journal Article
Volume
59
Issue
12
Start Page
122103
DOI
10.1063/1.5043484
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Title
A note on the generalized and universal associated Legendre equations
Source
arXiv
Date
2018
Author
Kirk, Keegan L. A.; Bryenton, Kyle R.; Saad, Nasser
Genre
Journal Article
Volume
1806.10237
DOI
10.1088/0253-6102/70/1/19
Full Text
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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
Full Text
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Title
Darboux-Crum Transformations, Supersymmetric Quantum Mechanics, and the Eigenvalue Problem
Date
2016
Author
Bryenton, Kyle Robert
Genre
Honours
Abstract
The Darboux transformation and its generalization, Crum's method, are tools used to generate exactly solvable eigenvalue problems. The focus of...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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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
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
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
DOI
10.1016/j.cam.2016.05.037
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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
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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Bookmarks:
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
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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