# Mourad Ismail

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{{short description|Egyptian mathematician}}
{{BLP sources|date=November 2019}}
{{Infobox scientist
|name              = Mourad E. H. Ismail
|image             = Ismail-color.jpg
|caption           =Professor Mourad Ismail at a conference 
|birth_date        = {{Birth date and age|1944|04|27}}
|birth_place       = [Cairo, Egypt](/source/Cairo%2C_Egypt)
|death_date        = 
|death_place       = 
|residence         = 
|citizenship       = 
|ethnicity         = 
|fields            = [mathematics](/source/mathematics)
|workplaces        = [Cairo University](/source/Cairo_University)<br />[McMaster University](/source/McMaster_University)<br />[Arizona State University](/source/Arizona_State_University)<br />[University of South Florida](/source/University_of_South_Florida)<br />[University of Central Florida](/source/University_of_Central_Florida)<br />[King Saud University](/source/King_Saud_University)<br />[University of Louisiana](/source/University_of_Louisiana)
|alma_mater        = [Cairo University](/source/Cairo_University)<br />[University of Alberta](/source/University_of_Alberta)
|doctoral_advisor  = [Waleed Al-Salam](/source/Waleed_Al-Salam)
|academic_advisors = 
|doctoral_students = 
|notable_students  = 
|known_for         = [Rogers-Askey-Ismail polynomials](/source/Rogers-Askey-Ismail_polynomials)<br />[Askey-Ismail polynomials](/source/Askey-Ismail_polynomials)<br />[Al-Salam-Ismail polynomials](/source/Al-Salam-Ismail_polynomials)<br />[Chihara-Ismail polynomials](/source/Chihara-Ismail_polynomials)
|author_abbrev_bot = 
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|influences        = 
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|religion          = 
|signature         = <!--(filename only)-->
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}}
'''Mourad E. H. Ismail''' ({{Langx|ar|مُراد اسماعيل}}; born April 27, 1944, in [Cairo](/source/Cairo), [Egypt](/source/Egypt)) is a [mathematician](/source/mathematician) working on [orthogonal polynomials](/source/orthogonal_polynomials) and [special functions](/source/special_functions).

Ismail received his bachelor's degree from [Cairo University](/source/Cairo_University). He holds Masters and doctorate degrees from the [University of Alberta](/source/University_of_Alberta). He worked at and visited several universities. Currently he is a visiting professor at the [University of Louisiana](/source/University_of_Louisiana). Before he 
held a research professorship at the [University of Central Florida](/source/University_of_Central_Florida) and a Distinguished Scientist Fellowship at [King Saud University](/source/King_Saud_University) in [Saudi Arabia](/source/Saudi_Arabia).

Ismail is a fellow of the [American Mathematical Society](/source/American_Mathematical_Society)<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2014-12-17</ref> and the [Institute of Physics](/source/Institute_of_Physics). He is among the ISI highly cited scientists. He served on the editorial boards of several journals including ''Constructive Approximation'', ''Journal of Approximation Theory'', ''Journal of Physics A'', and ''The Ramanujan Journal''. He published over 290 research articles, one book and edited several books.

Mourad Ismail works in the area of [special function](/source/special_function)s, [orthogonal polynomials](/source/orthogonal_polynomials) and their applications. His research also touches upon [approximation theory](/source/approximation_theory) and [continued fraction](/source/continued_fraction)s. Most of Ismail's work is joint with other mathematicians and physicists and some of his papers are interdisciplinary. He worked on [infinite divisibility](/source/infinite_divisibility_(probability)) problems in [probability](/source/probability) that led to questions about monotonicity properties of special functions. He also worked on monotonicity and inequalities for zeros of orthogonal polynomials. He made several contributions to the [asymptotic theory](/source/asymptotic_theory) of orthogonal polynomials. He also studied moment problems and found the orthogonality measure for several orthogonal polynomials. This includes the ''q''-ultraspherical polynomials (also known as the Askey–Ismail or Rogers–Askey–Ismail polynomials), the random walk polynomials (also known as
the Askey–Ismail polynomials), the Al-Salam–Ismail polynomials, and the Chihara–Ismail polynomials. Ismail also worked on [''q''-series](/source/Basic_hypergeometric_series) and [Rogers–Ramanujan identities](/source/Rogers%E2%80%93Ramanujan_identities). Ismail is also interested in the combinatorial theory of orthogonal polynomials and their linearization coefficients.

==Publications==

*{{Citation | last1=Ismail | first1=Mourad E. H. | title=Classical and Quantum Orthogonal Polynomials in One Variable | url=http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=9780521782012 | isbn=978-0-521-78201-2 | year=2005| publisher=Cambridge University Press }}

==See also==
* [Askey–Bateman project](/source/Askey%E2%80%93Bateman_project)

==References==
{{Reflist}}
* [https://math.louisiana.edu/node/41 Mourad E.H. Ismail's current home page at University of Louisiana]
* [https://web.archive.org/web/20121124050853/http://www.math.ucf.edu/~ismail/ Mourad E.H. Ismail's archived home page at University of Central Florida, retrieved 24 November 2012]
* [https://web.archive.org/web/20141103072231/http://ksu.edu.sa/AboutKSU/HighlycitedResearchers/Pages/murad.aspx Distinguished Scientist Fellowship Program, archived, retrieved 3 November 2014]

==External links==
*{{citation|first=Virginia|last= Kiryakova|title=Mourad E. H. Ismail|url=http://www.math.bas.bg/~fcaa/volume12/fcaa124/M_Ismail_65.pdf|journal=Fractional Calculus and Applied Analysis|year=2009|volume=12|issue=4}}
*{{MathGenealogy|id=12987}}
*{{ResearchGate|Mourad_Ismail2}}
{{Authority control}}

{{DEFAULTSORT:Ismail, Mourad E. H.}}
Category:Living people
Category:20th-century Egyptian mathematicians
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:1944 births
Category:Fellows of the American Mathematical Society
Category:University of Alberta alumni

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Adapted from the Wikipedia article [Mourad Ismail](https://en.wikipedia.org/wiki/Mourad_Ismail) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Mourad_Ismail?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.