2026 Mourad E. H. Ismail: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	61	515	436	271	215	371	14342

Mourad E. H. Ismail publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Mourad E. H. Ismail sits on this spectrum.

42 publications 537+

This scientist: 371 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Mourad E. H. Ismail D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Mourad E. H. Ismail sits on this spectrum.

30 D-Index 86+

This scientist: 61 D-Index — 86th percentile

86% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

1753
Citations
A generalization of starlike functions

Mourad E. H Ismail;Edward Merkes;David Styer

352
Citations
Recurrence Relations, Continued Fractions, and Orthogonal Polynomials

Richard Askey;Mourad Ismail

341
Citations
A generalization of ultraspherical polynomials

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

290
Citations
The zeros of basic Bessel functions, the functions Jv + ax(x), and associated orthogonal polynomials☆

Mourad E.H Ismail

223
Citations
The combinatorics of q -Hermite polynomials and the Askey-Wilson integral

Mourad Ismail;Dennis Stanton;Gerard Viennot

216
Citations
$q$-Hermite polynomials, biorthogonal rational functions, and $q$-beta integrals

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

202
Citations
Ladder operators and differential equations for orthogonal polynomials

Yang Chen;Mourad E H Ismail

193
Citations
Orthogonal polynomials : theory and practice

Paul G. Nevai;Mourad Ismail

183
Citations
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

165
Citations
Completely monotonic functions involving the gamma and q-gamma functions

Arcadii Z. Grinshpan;Mourad E. H. Ismail

161
Citations
Generalized orthogonality and continued fractions

Mourad E. H. Ismail;David R. Masson

153
Citations
Variants of the Rogers-Ramanujan Identities

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

150
Citations
Completely monotonic functions associated with the gamma function and its q-analogues

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

146
Citations
A simple proof of Ramanujan’s ₁₁ sum

Mourad E. H. Ismail

141
Citations
The associated Askey-Wilson polynomials

Mourad E. H. Ismail;Mizan Rahman

134
Citations
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

134
Citations
On a family of approximation operators

Mourad E.H. Ismail;C.Ping May

131
Citations
Special Functions, Stieltjes Transforms and Infinite Divisibility

Mourad E. H. Ismail;Douglas H. Kelker

120
Citations
Diagonalization of Certain Integral Operators

M.E.H. Ismail;R. Zhang

120
Citations
An electrostatics model for zeros of general orthogonal polynomials

Mourad E.H. Ismail

115
Citations
Theory and Applications of Special Functions

Mourad E.H. Ismail;Erik Koelink

83
Citations

Frequent Co-Authors

Dennis Stanton University of Minnesota

Richard Askey University of Wisconsin–Madison

Christian Berg University of Copenhagen

Luc Vinet University of Montreal

Alexei Zhedanov Euler International Mathematical Institute

Tom H. Koornwinder University of Amsterdam

Victor Reiner University of Minnesota

Wen-Xiu Ma University of South Florida

Jim Pitman University of California, Berkeley

Walter Van Assche KU Leuven

External Links

Wikipedia of Mourad E. H. Ismail Google Scholar page

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