2015 - Fellow of the American Mathematical Society For contributions to classical analysis and special function theory, as well as for service to the community.
His main research concerns Orthogonal polynomials, Pure mathematics, Discrete orthogonal polynomials, Hahn polynomials and Wilson polynomials. Mourad E. H. Ismail does research in Orthogonal polynomials, focusing on Jacobi polynomials specifically. The concepts of his Pure mathematics study are interwoven with issues in Discrete mathematics, Recurrence relation and Bessel function.
His work on Discrete orthogonal polynomials is being expanded to include thematically relevant topics such as Classical orthogonal polynomials. His Hahn polynomials research is multidisciplinary, incorporating perspectives in Laguerre polynomials and Rogers polynomials. As a part of the same scientific family, he mostly works in the field of Wilson polynomials, focusing on Gegenbauer polynomials and, on occasion, Algebra, Q analogues and Macdonald polynomials.
Mourad E. H. Ismail mostly deals with Orthogonal polynomials, Pure mathematics, Classical orthogonal polynomials, Discrete orthogonal polynomials and Wilson polynomials. Orthogonal polynomials is a subfield of Combinatorics that Mourad E. H. Ismail tackles. His study looks at the relationship between Pure mathematics and fields such as Monotonic function, as well as how they intersect with chemical problems.
Mourad E. H. Ismail interconnects Discrete mathematics and Laguerre polynomials in the investigation of issues within Classical orthogonal polynomials. His Wilson polynomials research is multidisciplinary, incorporating elements of Macdonald polynomials and Algebra. His Jacobi polynomials study results in a more complete grasp of Mathematical analysis.
Orthogonal polynomials, Classical orthogonal polynomials, Pure mathematics, Wilson polynomials and Discrete orthogonal polynomials are his primary areas of study. Mourad E. H. Ismail works in the field of Orthogonal polynomials, focusing on Jacobi polynomials in particular. Within one scientific family, Mourad E. H. Ismail focuses on topics pertaining to Difference polynomials under Classical orthogonal polynomials, and may sometimes address concerns connected to Discrete mathematics.
As a member of one scientific family, Mourad E. H. Ismail mostly works in the field of Pure mathematics, focusing on Function and, on occasion, Entire function and Monotonic function. His research on Wilson polynomials focuses in particular on Askey–Wilson polynomials. His study ties his expertise on Gegenbauer polynomials together with the subject of Discrete orthogonal polynomials.
Mourad E. H. Ismail mainly investigates Orthogonal polynomials, Wilson polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials and Jacobi polynomials. His Orthogonal polynomials research is multidisciplinary, relying on both Laguerre polynomials, Quantum optics and Algebra. His Wilson polynomials research integrates issues from Quadratic equation, Algebra over a field, Hypergeometric distribution and Algebraic number.
His Classical orthogonal polynomials study introduces a deeper knowledge of Combinatorics. His studies in Discrete orthogonal polynomials integrate themes in fields like Gegenbauer polynomials and Difference polynomials. His Hahn polynomials study deals with Koornwinder polynomials intersecting with Al-Salam–Chihara polynomials.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Classical and quantum orthogonal polynomials in one variable
Mourad E. H. Ismail.
Published in <b>2005</b> in Cambridge New York by Cambridge University Press (2005)
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.
$q$-Hermite polynomials, biorthogonal rational functions, and $q$-beta integrals
M. E. H. Ismail;D. R. Masson.
Transactions of the American Mathematical Society (1994)
The zeros of basic Bessel functions, the functions Jv + ax(x), and associated orthogonal polynomials☆
Mourad E.H Ismail.
Journal of Mathematical Analysis and Applications (1982)
Orthogonal polynomials : theory and practice
Paul G. Nevai;Mourad Ismail.
The combinatorics of q -Hermite polynomials and the Askey-Wilson integral
Mourad Ismail;Dennis Stanton;Gerard Viennot.
The Journal of Combinatorics (1987)
Ladder operators and differential equations for orthogonal polynomials
Yang Chen;Mourad E H Ismail.
Journal of Physics A (1997)
A generalization of starlike functions
Mourad E. H Ismail;Edward Merkes;David Styer.
Complex Variables, Theory and Application: An International Journal (1990)
Completely monotonic functions involving the gamma and q-gamma functions
Arcadii Z. Grinshpan;Mourad E. H. Ismail.
Proceedings of the American Mathematical Society (2005)
Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: