Nasser Saad Nasser Saad

Professor of Mathematics
Department of Mathematics & Statistics
University of Prince Edward Island
550 University Avenue
Charlottetown, PE
Canada C1A 4P3

Office: Cass 401
Telephone: (902) 566 0357
Fax: (902) 566 0466
E-mail: nsaad@upei.ca

To my teacher: Attila Bela von Keviczky (1941 - 2008)

Eulogy

My Interests:

The Coptic Winter

Copts in Egypt

Egypt, the people

Teaching assignment: 2010-2011

Math 301: Differential Equations,
Math 112: Calculus for Managerial Social & Life Science (3 sections),
Math 331: Complex variables.

Teaching assignment: 2011-2012

Math 301: Differential Equations, (Fall 2011- Winter 2012)
Math/CS 392: Numerical Analysis (Fall 2011),
Math 331: Complex variables (Winter 2011),
Math 472: Partial Differential Equations (Winter 2012).

Research Interests

Special Functions
Singular Potentials
Spectral Geometry
Eigenvalue Problems: Asymptotic Iteration Method


My Research Profile

Publications

Professor Richard L. Hall's home page at Concordia University
Professor Yu. A. Brychkov at Dorodnicyn Computing Center of the Russian Academy of Sciences, Russia
Kalidas D. Sen, Professor of Chemistry, University of Hyderabad
Hakan Ciftci's home page at Gazi University
Professor Hari M. Srivastava's home page at University of Victoria

Click here for my listings on the arXiv.

Click here for my listings on MathSciNet site.

  1. On some formulas for the Appell function F1(a; b; b'; c;w; z)
    Yu. A. Brychkov and Nasser Saad
    Integral Transforms and Special Functions [In Press].
  2. Discrete Spectra for Confined and Unconfined -a/r + br2 Potentials in d Dimensions [ps-pdf]
    Richard L. Hall, Nasser Saad and K. D. Sen
    J. Math. Phys. 52 (2011) 092103.
  3. Study of the generalized quantum isotonic nonlinear oscillator potential [ps-pdf]
    Nasser Saad, Richard L. Hall, Hakan Ciftci and Ozlem Yesiltas
    Advances in Mathematical Physics Vol. 2011 (2011), Article ID 750168, 20 pages, doi:10.1155/2011/750168.
  4. On a modified beta function and some applications
    Ali Fatehi, Jonathan Murley and Nasser Saad
    Applied Mathematics and Computation [In press 2011].
  5. Spectral characteristics for a spherically confiined -a/r + br2 potential [ps-pdf]
    Richard L. Hall, Nasser Saad and K. D. Sen
    J. Phys. A: Math. Theor. 44 (2011) 185307.
  6. Simple formula for computing the Hubbell radiation rectangular source integral
    Jonathan Murley and Nasser Saad
    Radiation Physics and Chemistry 80 (2011) 11-13.
  7. Generalized quantum isotonic nonlinear oscillator in d-dimensions[ps-pdf]
    Richard L. Hall, Nasser Saad, and Ozlem Yesilas
    J. Phys. A: Math. Theor. 43 (2010) 465304.
  8. Physical applications of second-order linear differential equations that admit polynomial solutions[ps-pdf]
    Hakan Ciftci, Richard L. Hall, Nasser Saad, Ebubekir Dogu
    J. Phys. A: Math. Theor. 43 (2010) 415206.
  9. Calculation of generalized Hubbell rectangular source integral [ps-pdf]
    Jonathan Murley and Nasser Saad
    Appl Radiat Isot. 69 (2010) 90-93.
  10. Soft-core Coulomb Potential and Heun's Differential Equation [ps-pdf]
    Richard L. Hall, Nasser Saad and K. D. Sen
    J. Math. Phys. 51 (2010) 022107.
  11. Energies and wave functions for a soft-core Coulomb potential [ps-pdf]
    Richard L. Hall, Nasser Saad, K. D. Sen, and Hakan Ciftci
    Phys. Rev. A 80, 032507 (2009).
  12. Simple Identity for Appell's Hypergeometric Function F2
    Amer Jajou and Nasser Saad
    Proceedings of a Conference on Analysis and Computational Mathematics, Notre Dame University, Lebanon (18-19 Sept. 2008). Editors: Friedemann Brock and Elias G. Saleeby, Research Publishing, Singapore (2009).
  13. Tables of the Appell Hypergeometric Functions F2 [ps-pdf]
    Jonathan Murley and Nasser Saad
    arXiv:0809.5203v3 [math-ph, 2009].
  14. Recursion Formulas for Appell's Hypergeometric Function F2 with Some Applications to Radiation Field Problems
    Sheldon B. Opps, Nasser Saad and H. M. Srivastava
    Applied Mathematics and Computation 207 (2009) 545-558.
  15. Solvable Systems of Linear Differential Equations [ps-pdf]
    Katherine M Robertson and Nasser Saad.
    Journal of Applied Mathematics and Computing: Volume 31, Issue 1 (2009), Page 475.
  16. Study of a confined Hydrogen-like atom by the Asymptotic Iteration Method [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Int. J. Quant. Chem. 109, 931-937 (2009).
  17. The Casimir Force in Randall Sundrum Models with q+1 dimensions [ps-pdf]
    Mariana Frank, Nasser Saad and Ismail Turan
    Phys. Rev. D 78, 055014 (2008).
  18. Asymptotic Iteration Method for singular potentials [ps-pdf]
    Brodie Champion, Richard L. Hall, and Nasser Saad
    Int. J. Mod. Phys. A 23, (2008) 1405 - 1415.
  19. The Klein-Gordon equation with the Kratzer potential in d dimensions [ps-pdf]
    Nasser Saad, Richard L. Hall, and Hakan Ciftci
    Cent. Eur. J. Phys., 6 (2008) 717 - 729.
  20. The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions [ps-pdf]
    Nasser Saad
    Phys. Scr. 76 (2007) 623-627.
  21. Eigenvalue bounds for polynomial central potentials in d dimensions [ps-pdf]
    Qutaibeh D. Katatbeh, Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Theor. 40 (2007) 13431-13442.
  22. Solutions for certain classes of Riccati differential equation [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Theor. 40 (2007) 10903-10914.
  23. Wave equation and dispersion relations for a compressible rotating fluid [ps-pdf]
    Jose Marin-Antuna, Richard L. Hall, and Nasser Saad
    Phys. Lett. A 362 (2007) 57 - 60.
  24. Criterion for polynomial solutions to a class of linear differential equation of second order [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 13445-13454.
  25. Sextic anharmonic oscillators and orthogonal polynomials [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 8477-8486.
  26. Study of a class of non-polynomial oscillator potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Hakan Ciftci
    J. Phys. A: Math. Gen. 39 (2006) 7745-7756.
  27. Iterative solutions to the Dirac equation [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Rev. A, 72, 022101 (2005).
  28. Green's function for a Schreodinger operator and some related summation formulas [ps-pdf]
    Attila B. von Keviczky, Nasser Saad and Richard L. Hall
    J. Math. Phys., 46, 073512 (2005).
  29. Perturbation theory in a framework of iteration methods [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    Phys. Lett. A, 340, 388-396 (2005).
  30. Construction of exact solutions to eigenvalue problems by the asymptotic iteration method [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    J. Phys. A: Gen. Math. 38, 1147-1155 (2005).
  31. Study of Anharmonic Singular Potentials [ps-pdf]
    Nasser Saad, Richard L. Hall, and Qutaibeh D. Katatbeh
    J. Math. Phys. 46, 022104-022119 (2005).
  32. Some Reduction and Transformation Formulas for the Appell hypergeometric function F2
    Sheldon Opps, Nasser Saad, and H. M. Srivastava
    J. Math. Anal. Appl. 302, 184-199 (2005).
    Minor Corrections
  33. A basis for variational calculations in d dimensions [ps-pdf]
    Richard L. Hall, Qutaibeh D. Katatbeh, and Nasser Saad
    J. Phys. A: Math. Gen. 37, 11629-11644 (2004).
  34. Temporally stable coherent states for a free magnetic Schroedinger operator [ps-pdf]
    K. Thirulogasanthar, Nasser Saad, and Attila B von Keviczky
    J. Math. Phys., 45, 2694-2717 (2004).
  35. Friedrichs Extensions of Schroedinger Operators with Singular Potentials [ps-pdf]
    Attila B von Keviczky, Nasser Saad, and Richard L. Hall
    J. Math. Anal. Appl., 292, 274-293 (2004).
  36. Coherent States associated with the wavefunctions and the spectrum of the isotonic oscillator [ps-pdf]
    K. Thirulogasanthar and Nasser Saad
    J. Phys. A: Math. Gen. 37, 4567-4577 (2004).
  37. Perturbation expansions for a class of singular potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky
    J. Math. Phys. 44, 5021-5041 (2003).
  38. Asymptotic iteration method for eigenvalue problems [ps-pdf]
    Hakan Ciftci, Richard L. Hall, and Nasser Saad
    J. Phys. A 36, 11807-11816 (2003) .
  39. Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky
    J. Phys. A.: Gen. Math. 36, 7771-7788 (2003)
  40. Energy bounds for a class of singular potentials and some related series [ps-pdf]
    Nasser Saad, Richard L. Hall and Attila B von Keviczky,
    J. Phys. A.: Gen. Math. 36, 487-498 (2003)
  41. Closed-form sums for some perturbation series involving hypergeometric functions [ps-pdf]
    Nasser Saad and Richard L. Hall
    J. Phys. A.: Gen. Math. 35, 4105-4123 (2002)
  42. Spiked harmonic oscillators [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J. Math. Phys. 43, 94-112 (2002).
  43. Closed-form sums for some perturbation series involving associated Laguerre polynomials [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J. Phys. A: Math. Gen. 34, 11287-11300 (2001).
  44. Generalized spiked harmonic oscillator [ps-pdf]
    Richard L. Hall, Nasser Saad, and Attila B von Keviczky
    J.Phys. A: Math. Gen. 34, 1169-1179 (2001).
  45. Perturbation expansions for the spiked harmonic oscillator and related series involving the gamma function [ps pdf]
    Richard L. Hall and Nasser Saad
    J.Phys. A: Math. Gen. 33, 5531-5537 (2000).
  46. Variational analysis for a generalized spiked harmonic oscillator [ps pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 33, 569-578 (2000).
  47. Eigenvalue bounds for a class of singular potentials in N-dimensions [pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 32, 133-138 (1999).
  48. Matrix elements for a generalized spiked harmonic oscillator [pdf]
    Richard L. Hall, Nasser Saad, and Attila B. von Keviczky
    J. Math. Phys. 39, 6345-6352 (1998)
  49. Smooth transformations of Kratzer's potential in N dimensions
    Richard L. Hall and Nasser Saad
    J. Chem. Phys. 109, 2983-2986 (1998).
  50. Eigenvalue bounds for a class of singular potentials
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 31, 963-967 (1998).
  51. Eigenvalue comparisons for quantum systems in a box
    Richard L. Hall and Nasser Saad
    Phys. Lett. A 237, 107-112 (1998)
  52. Bounds on Schrödinger eigenvalues for polynomial potentials in N dimensions
    Richard L. Hall and Nasser Saad
    J. Math. Phys. 38, 4909-4913 (1997)
  53. Eigenvalue bounds for transformations of solvable potentials,
    Richard L. Hall and Nasser Saad
    J. Phys. A: Math. Gen. 29, 2127-2137 (1996).
  54. The quantum-mechanical box effect [pdf]
    Richard L. Hall and Nasser Saad
    J. Phys. A. Math. Gen. 29, 2127-2137 (1996).
  55. Energy bounds for the spiked harmonic oscillator
    Richard L. Hall and Nassser Saad
    Can. J. Phys. 73 , 493-496 (1995).