Skip to main content
Scholars
Departments
Faculty/Staff Works
Graduate Theses
Graduate Works
Undergrad Works
Publish @ UPEI
About
User menu
My Bookmarks
Log In
IslandScholar
Robertson Library
Search Term
advanced
Search results
(1 - 20 of 88)
Pages
1
2
3
4
5
next ›
last »
Full Text
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Full Text
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Bookmarks:
- Select bookmark list -
My Default List
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
Pages
1
2
3
4
5
next ›
last »