Mourad E.H. Ismail

Visiting Professor
Special functions and analysis

mourad.ismail@louisiana.edu

Ph.D. 1974 University of Alberta
M.S. 1969 University of Alberta
B.S. 1964 Cairo University

Mourad Ismail works in the area of special functions, orthogonal polynomials and their applications. His research also touches upon approximation theory and continued fractions. Most of Ismail's work is joint with other mathematicians and physicists and some of his papers are interdisciplinary. He published over 290 research articles, one book and edited several books. Ismail is a fellow of the American Mathematical Society and the Institute of Physics.

Selected research publications:

• Dimitrov, Dimitar K. and Gadjev, Ivan and Ismail, Mourad E.H.,
  Sharp Hardy's inequalities in Hilbert spaces,
  J. Spectr. Theory, 14 (3) (2024), 1243-1256.
  

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• Dai, Dan and Ismail, Mourad E.H. and Wang, Xiang-Sheng,
  From continuous to discrete: weak limit of normalized Askey-Wilson measure,
  Ramanujan J., 64 (1) (2024), 227-252.
  

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• Ismail, Mourad E.H. and Simeonov, Plamen and Stanton, Dennis,
  Interpolatory Taylor and Lidstone series,
  Anal. Appl. (Singap.), 22 (2) (2024), 383-405.
  

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• Ismail, Mourad E.H. and Zhou, Keru,
  q-fractional integral operators with two parameters,
  Adv. in Appl. Math., 154 (2024), Paper No. 102638, 16.
  

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• Alhaidari, A. D. and Ismail, Mourad E.H.,
  Solutions of the scattering problem in a complete set of Bessel functions with a discrete index,
  J. Math. Phys., 64 (11) (2023), Paper No. 112102, 13.
  

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• Bhatnagar, Gaurav and Ismail, Mourad E.H.,
  Orthogonal polynomials associated with a continued fraction of Hirschhorn,
  Ramanujan J., 61 (2) (2023), 487-514.
  

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• Alladi, Krishnaswami, Cohl, Howard S., Garvan, Frank G., Ismail, Mourad E.H., and Rosengren, Hjalmar,
  Preface Special issue in memory of Richard Askey - Part 1,
  Ramanujan J., 61 (1) 2023, 1-6.
  

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• Ismail, Mourad E.H. I. and Mansour, Zeinab S.I.,
  q-type Lidstone expansions and an interpolation problem for entire functions,
  Adv. in Appl. Math., 142 (2023), Paper No. 102429, 30.
  

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• Ismail, Mourad E.H. and Zhang, Ruiming and Zhou, Keru,
  q-fractional Askey-Wilson integrals and related semigroups of operators,
  Physica D. Nonlinear Phenomena, 442 (2022), Paper No. 133534, 15.
  

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• Ismail, Mourad E.H. and Zhang, Ruiming,
  Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions,
  Anal. Appl. (Singap.), 20 (1) (2022), 1-18.
  

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