World's Best Scientists 2026 revealed!

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Mathematics

D-Index
61
Citations
14342
World Ranking
515
National Ranking
270

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to classical analysis and special function theory, as well as for service to the community.

Overview

Mourad E. H. Ismail is affiliated with the University of Louisiana at Lafayette in the United States and works primarily in the field of Mathematics, with a focus on Applied Mathematics, Algebra and Number Theory, Computational Theory and Mathematics, Statistics and Probability, and Statistical and Nonlinear Physics.

Their research covers a range of topics including Mathematical functions and polynomials, Advanced Mathematical Identities, Matrix Theory and Algorithms, Analytic Number Theory Research, Approximation Theory and Sequence Spaces, Random Matrices and Applications, and Mathematical Inequalities and Applications.

Recent publications by Mourad E. H. Ismail include:

  • Orthogonality of very well-poised series, 2024, Indagationes Mathematicae
  • q-fractional Askey-Wilson integrals and related semigroups of operators, 2022, Physica D Nonlinear Phenomena
  • q-Type Lidstone expansions and an interpolation problem for entire functions, 2022, Advances in Applied Mathematics

Frequent co-authors of Mourad E. H. Ismail include:

  • Walter Van Assche
  • Ruiming Zhang
  • Keru Zhou
  • Nasser Saad
  • Dennis Stanton

The venues where Mourad E. H. Ismail has published frequently include:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Advances in Applied Mathematics
  • Analysis and Applications
  • Journal of Mathematical Physics

Mourad E. H. Ismail was recognized as a Fellow of the American Mathematical Society in 2015 for contributions to classical analysis, special function theory, and community service.

Best Publications

  • Classical and quantum orthogonal polynomials in one variable

    Mourad E. H. Ismail

  • A generalization of starlike functions

    Mourad E. H Ismail;Edward Merkes;David Styer

  • Recurrence Relations, Continued Fractions, and Orthogonal Polynomials

    Richard Askey;Mourad Ismail

  • A generalization of ultraspherical polynomials

    Richard Askey;Richard Askey;Mourad E.-H. Ismail;Mourad E.-H. Ismail

  • The zeros of basic Bessel functions, the functions Jv + ax(x), and associated orthogonal polynomials☆

    Mourad E.H Ismail

  • The combinatorics of q -Hermite polynomials and the Askey-Wilson integral

    Mourad Ismail;Dennis Stanton;Gerard Viennot

  • $q$-Hermite polynomials, biorthogonal rational functions, and $q$-beta integrals

    M. E. H. Ismail;D. R. Masson

  • Ladder operators and differential equations for orthogonal polynomials

    Yang Chen;Mourad E H Ismail

  • Orthogonal polynomials : theory and practice

    Paul G. Nevai;Mourad Ismail

  • The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients

    Vincent X Genest;Mourad E H Ismail;Mourad E H Ismail;Luc Vinet;Alexei Zhedanov

  • Completely monotonic functions involving the gamma and q-gamma functions

    Arcadii Z. Grinshpan;Mourad E. H. Ismail

  • Generalized orthogonality and continued fractions

    Mourad E. H. Ismail;David R. Masson

  • Variants of the Rogers-Ramanujan Identities

    Kristina Garrett;Mourad E.H. Ismail;Dennis Stanton

  • Completely monotonic functions associated with the gamma function and its q-analogues

    Mourad E.H Ismail;Lee Lorch;Martin E Muldoon

  • A simple proof of Ramanujan’s ₁₁ sum

    Mourad E. H. Ismail

  • The associated Askey-Wilson polynomials

    Mourad E. H. Ismail;Mizan Rahman

  • New family of unitary random matrices.

    K. A. Muttalib;K. A. Muttalib;K. A. Muttalib;Y. Chen;Y. Chen;Y. Chen;M. E. H. Ismail;M. E. H. Ismail;M. E. H. Ismail;V. N. Nicopoulos;V. N. Nicopoulos;V. N. Nicopoulos

  • On a family of approximation operators

    Mourad E.H. Ismail;C.Ping May

  • Special Functions, Stieltjes Transforms and Infinite Divisibility

    Mourad E. H. Ismail;Douglas H. Kelker

  • Diagonalization of Certain Integral Operators

    M.E.H. Ismail;R. Zhang

  • An electrostatics model for zeros of general orthogonal polynomials

    Mourad E.H. Ismail

  • Theory and Applications of Special Functions

    Mourad E.H. Ismail;Erik Koelink

Frequent Co-Authors

Dennis Stanton
Dennis Stanton University of Minnesota
Richard Askey
Richard Askey University of Wisconsin–Madison
Christian Berg
Christian Berg University of Copenhagen
Luc Vinet
Luc Vinet University of Montreal
Alexei Zhedanov
Alexei Zhedanov Renmin University of China
Tom H. Koornwinder
Tom H. Koornwinder University of Amsterdam
Victor Reiner
Victor Reiner University of Minnesota
Wen-Xiu Ma
Wen-Xiu Ma University of South Florida
Jim Pitman
Jim Pitman University of California, Berkeley

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