Faculty

Institution

Unit

Venue

Mourad Ismail

Research Professor

University of Central Florida

Affiliations

College of Sciences

Mathematics Department

Mourad Ismail is currently serving as a College Of Sciences Research Professor at University of Central Florida.

Honors

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Experiences

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Education

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Mourad Ismail

University of Central Florida

Research Professor

You can click a keyword to filter the displayed items

applied mathematics mathematics orthogonal polynomials mathematical analysis spectral theory pure mathematics number theory analytic number theory approximation theory numerical analysis combinatorial theory theoretical analysis algebraic geometry functional analysis combinatorics mathematical sciences nonlinear analysis numerical mathematics mathematical optimization geometric topology algebraic analysis algebraic combinatorics physics scientific computing function spaces computer science abstract analysis approximation methods knot theory combinatorial optimization difference equations theoretical mathematics applied algebra computational number theory constructive approximation complex function theory analytic combinatorics matrix theory global analysis lower bounds geometry of numbers unit circle special functions bessel functions computational optimization continued fractions numerical method for partial differential equation rational approximation q-orthogonal polynomials convex analysis mathematical programming fractional calculus abstract complexity pade approximant random matrix modern algebra combinatorial methods integral transforms definite integral integral geometry classical orthogonal polynomials jacobi polynomials askey-wilson polynomials connection relations askey-wilson operator theoretical physics string theory finite fields variational analysis basic bessel functions ladder operators monotonic functions infinite divisibility entire functions complex hermite polynomials death processes mathematical physics asymptotic analysis

Notable Scholarly Works

Notable Federal Grants

Collaborators

From Continuous to Discrete: Weak Limit of Normalized Askey–Wilson Measure. The Ramanujan Journal (2024)

Dan DaiMourad E. H. IsmailXiang-Sheng Wang

particle physicsnormalized askey-wilson measureweak limitapplied mathematics

On Entry II.16.12: A Continued Fraction of Ramanujan. Monographs in number theory (2024)

Gaurav BhatnagarMourad E. H. Ismail

continued fractionsalgebraic number theorynumber theorymathematics

Orthogonal Polynomials With Periodic Recurrence Coefficients. arXiv (Cornell University) (2024)

Dai, DanIsmail, Mourad E. H.Wang, Xiang-Sheng

periodic recurrence coefficientsorthogonal polynomialsapplied mathematics

Sharp Hardy’s Inequalities in Hilbert Spaces. Journal of Spectral Theory (2024)

Dimitar K. DimitrovIvan GadjevMourad E. H. Ismail

spectral analysisapplied mathematicshilbert spacesoperator theorysharp hardyspectral theory

Interpolatory Taylor and Lidstone Series. Analysis and Applications (2023)

Mourad E. H. IsmailPlamen SimeonovDennis Stanton

approximation theoryharmonic analysislidstone seriesabstract and applied analysisapplied mathematicsmathematicsinterpolation spacescomplex analysisanalytic applicationgeometric interpolationglobal analysismathematical analysisinterpolatory taylor

Q-Fractional Integral Operators With Two Parameters. Advances in Applied Mathematics (2023)

Mourad E.H. IsmailKeru Zhou

integral transformsnumerical analysistheoretical analysisoperator algebrasapplied mathematicsmathematicspure mathematicsoperator theoryq-fractional integral operatorsfractional calculusnumerical mathematicsfourier expansionanalytic number theoryparameter identificationmathematical analysisspectral theory

Solutions of the Scattering Problem in a Complete Set of Bessel Functions With a Discrete Index. Journal of Mathematical Physics (2023)

A. D. AlhaidariM. E. H. Ismail

numerical analysismathematical physicstheoretical analysiscomplete setapplied mathematicsdiscrete indexrayleigh scatteringscattering problembessel functionsphysicsmathematicsmathematical sciences

Q -Fractional Askey–Wilson Integrals and Related Semigroups of Operators. Physica D Nonlinear Phenomena (2022)

Mourad E.H. IsmailRuiming ZhangKeru Zhou

dirac operatorapplied mathematicsnonlinear wave propagationmathematical biologyoperator theoryrelated semigroupscomputational fluid dynamicsapplied physicsnonlinear sciencephysicsfractional calculustransport phenomenadifferential equationsnonlinear phenomenatransformation semigroupsquantum mechanics

Orthogonal Polynomials Associated With a Continued Fraction of Hirschhorn. The Ramanujan Journal (2022)

Gaurav BhatnagarMourad E. H. Ismail

orthogonal polynomialscontinued fractionsnumber theorymathematics

Q-Type Lidstone Expansions and an Interpolation Problem for Entire Functions. Advances in Applied Mathematics (2022)

Mourad E.H.I. IsmailZeinab S.I. Mansour

approximation theoryentire functionsinterpolation problemcomplex function theoryapplied mathematicsq-type lidstone expansions

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Mourad Ismail

Research Professor

University of Central Florida

Affiliations

College of Sciences

Mathematics Department

Mourad Ismail is currently serving as a College Of Sciences Research Professor at University of Central Florida.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Mourad Ismail

University of Central Florida

Research Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

From Continuous to Discrete: Weak Limit of Normalized Askey–Wilson Measure. The Ramanujan Journal (2024)

Dan DaiMourad E. H. IsmailXiang-Sheng Wang

particle physicsnormalized askey-wilson measureweak limitapplied mathematics

On Entry II.16.12: A Continued Fraction of Ramanujan. Monographs in number theory (2024)

Gaurav BhatnagarMourad E. H. Ismail

continued fractionsalgebraic number theorynumber theorymathematics

Orthogonal Polynomials With Periodic Recurrence Coefficients. arXiv (Cornell University) (2024)

Dai, DanIsmail, Mourad E. H.Wang, Xiang-Sheng

periodic recurrence coefficientsorthogonal polynomialsapplied mathematics

Sharp Hardy’s Inequalities in Hilbert Spaces. Journal of Spectral Theory (2024)

Dimitar K. DimitrovIvan GadjevMourad E. H. Ismail

spectral analysisapplied mathematicshilbert spacesoperator theorysharp hardyspectral theory

Interpolatory Taylor and Lidstone Series. Analysis and Applications (2023)

Mourad E. H. IsmailPlamen SimeonovDennis Stanton

Q-Fractional Integral Operators With Two Parameters. Advances in Applied Mathematics (2023)

Mourad E.H. IsmailKeru Zhou

Solutions of the Scattering Problem in a Complete Set of Bessel Functions With a Discrete Index. Journal of Mathematical Physics (2023)

A. D. AlhaidariM. E. H. Ismail

numerical analysismathematical physicstheoretical analysiscomplete setapplied mathematicsdiscrete indexrayleigh scatteringscattering problembessel functionsphysicsmathematicsmathematical sciences

Q -Fractional Askey–Wilson Integrals and Related Semigroups of Operators. Physica D Nonlinear Phenomena (2022)

Mourad E.H. IsmailRuiming ZhangKeru Zhou

Orthogonal Polynomials Associated With a Continued Fraction of Hirschhorn. The Ramanujan Journal (2022)

Gaurav BhatnagarMourad E. H. Ismail

orthogonal polynomialscontinued fractionsnumber theorymathematics

Q-Type Lidstone Expansions and an Interpolation Problem for Entire Functions. Advances in Applied Mathematics (2022)

Mourad E.H.I. IsmailZeinab S.I. Mansour

approximation theoryentire functionsinterpolation problemcomplex function theoryapplied mathematicsq-type lidstone expansions

1
2
3
4
5
33
10 / page

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real analysis