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Title: Asymptotic iteration method for solving Hahn difference equations
Source: Advances in Difference Equations
Date: 2021
Author: MacQuarrie, Lucas; Saad, Nasser; Islam, Md. Shafiqul
Genre: Journal Article
Abstract: Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established...
Volume: 2021
Issue: 354
DOI: 10.1186/s13662-021-03511-9
Publication Status: PUBLISHED




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Title: Asymptotic iteration method for the inverse power potentials
Source: The European Physical Journal Plus
Date: 2021
Author: Hall, Richard L.; Saad, Nasser
Genre: Journal Article
Abstract: The asymptotic iteration method (AIM) is used to accurately calculate the eigenvalues of the Schrödinger equation with the potential 𝑉(𝑟)=−𝑟−𝑠, 𝑠∈...
Volume: 136
Issue: 688
DOI: 10.1140/epjp/s13360-021-01647-x



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Title: The Asymptotic Iteration Method with applications
Date: 2021
Author: Liu, Jiaying
Genre: Honours
Abstract: Asymptotic Iteration Method (AIM) is a recently developed technique for solving analytically and approximately the linear second-order differential...
Publisher: University of Prince Edward Island
Publication Status: PUBLISHED




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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



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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: A discrete and q asymptotic iteration method
Source: Journal of Difference Equations and Applications
Date: 2020
Author: Ismail, Mourad E. H.; Saad, Nasser
Genre: Journal Article
Abstract: We introduce a finite difference and q-difference analogues of the Asymptotic Iteration Method of Ciftci, Hall, and Saad. We give necessary, and...
Volume: 26
Issue: 4
Start Page: 488
DOI: 10.1080/10236198.2020.1748021




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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



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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: 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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