Mourad E. H. Ismail

11.3k total citations · 1 hit paper
274 papers, 6.2k citations indexed

About

Mourad E. H. Ismail is a scholar working on Applied Mathematics, Algebra and Number Theory and Statistical and Nonlinear Physics. According to data from OpenAlex, Mourad E. H. Ismail has authored 274 papers receiving a total of 6.2k indexed citations (citations by other indexed papers that have themselves been cited), including 224 papers in Applied Mathematics, 108 papers in Algebra and Number Theory and 57 papers in Statistical and Nonlinear Physics. Recurrent topics in Mourad E. H. Ismail's work include Mathematical functions and polynomials (213 papers), Advanced Mathematical Identities (101 papers) and Advanced Combinatorial Mathematics (36 papers). Mourad E. H. Ismail is often cited by papers focused on Mathematical functions and polynomials (213 papers), Advanced Mathematical Identities (101 papers) and Advanced Combinatorial Mathematics (36 papers). Mourad E. H. Ismail collaborates with scholars based in United States, Canada and Saudi Arabia. Mourad E. H. Ismail's co-authors include Dennis Stanton, Yang Chen, Richard Askey, J. Bustoz, Martin E. Muldoon, David R. Masson, E. P. Merkes, D. Styer, W. A. Al‐Salam and Plamen Simeonov and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Mathematics of Computation.

In The Last Decade

Mourad E. H. Ismail

261 papers receiving 5.5k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Classical and Quantum Orthogonal Polynomials in One Variable

2005 805 citations Mourad E. H. Ismail profile →

Peers

Countries citing papers authored by Mourad E. H. Ismail

Since Specialization

Citations

This map shows the geographic impact of Mourad E. H. Ismail's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mourad E. H. Ismail with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mourad E. H. Ismail more than expected).

Fields of papers citing papers by Mourad E. H. Ismail

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mourad E. H. Ismail. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mourad E. H. Ismail. The network helps show where Mourad E. H. Ismail may publish in the future.

Co-authorship network of co-authors of Mourad E. H. Ismail

This figure shows the co-authorship network connecting the top 25 collaborators of Mourad E. H. Ismail. A scholar is included among the top collaborators of Mourad E. H. Ismail based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mourad E. H. Ismail. Mourad E. H. Ismail is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Sharp Hardy’s inequalities in Hilbert spaces 2024 ·Journal of Spectral Theory ·Dimitar K. Dimitrov, (unknown), Mourad E. H. Ismail	1
2	A necessary and sufficient condition for sequences to be minimal completely monotonic 2020 ·Advances in Difference Equations ·Xifeng Wang, Mourad E. H. Ismail, Necdet Batır, (unknown)	3
3	Analytic properties of complex Hermite polynomials 2015 ·Transactions of the American Mathematical Society ·Mourad E. H. Ismail	33
4	Resultants of Chebyshev Polynomials 2008 ·Zeitschrift für Analysis und ihre Anwendungen ·(unknown), Mourad E. H. Ismail	8
5	Linear $q$-Difference Equations 2007 ·Zeitschrift für Analysis und ihre Anwendungen ·(unknown), M. H. Annaby, Mourad E. H. Ismail, Zeinab S. I. Mansour	68
6	Application of Upper and Lower Bounds for the Domination Number to Vizing's Conjecture. 2003 ·Ars Combinatoria ·W. Edwin Clark, Mourad E. H. Ismail, Stephen Suen	4
7	A right inverse of the Askey-Wilson operator 1995 ·Proceedings of the American Mathematical Society ·B. M. Brown, Mourad E. H. Ismail	13
8	A Right Inverse of the Askey-Wilson Operator 1995 ·Proceedings of the American Mathematical Society ·B. M. Brown, Mourad E. H. Ismail	2
9	Pages from the Computer Files of R. William Gosper 1993 ·Proceedings of the American Mathematical Society ·Mourad E. H. Ismail, (unknown), Ruiming Zhang	1
10	A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials 1991 ·Transactions of the American Mathematical Society ·Mourad E. H. Ismail, Martin E. Muldoon	13
11	A discrete approach to monotonicity of zeros of orthogonal polynomials 1991 ·Transactions of the American Mathematical Society ·Mourad E. H. Ismail, Martin E. Muldoon	33
12	Complete monotonicity of modified Bessel functions 1990 ·Proceedings of the American Mathematical Society ·Mourad E. H. Ismail	16
13	Complete Monotonicity of Modified Bessel Functions 1990 ·Proceedings of the American Mathematical Society ·Mourad E. H. Ismail	6
14	Orthogonal polynomials : theory and practice 1990 ·Kluwer Academic Publishers eBooks ·Paul Nevai, Mourad E. H. Ismail	87
15	On Sieved Orthogonal Polynomials II: Random Walk Polynomials 1986 ·Canadian Journal of Mathematics ·(unknown), Mourad E. H. Ismail	28
16	On Gamma Function Inequalities 1986 ·Mathematics of Computation ·J. Bustoz, Mourad E. H. Ismail	88
17	On gamma function inequalities 1986 ·Mathematics of Computation ·J. Bustoz, Mourad E. H. Ismail	63
18	Polynomial expansions 1975 ·Mathematics of Computation ·Jerry L. Fields, Mourad E. H. Ismail	14
19	Polynomial Expansions 1975 ·Mathematics of Computation ·Jerry L. Fields, Mourad E. H. Ismail	5
20	A Derangement Problem. 1975 ·Defense Technical Information Center (DTIC) ·Richard Askey, Mourad E. H. Ismail, (unknown)	3

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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