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Ismail, Mourad El-Houssieny

Author ID: ismail.mourad-el-houssieny Recent zbMATH articles by "Ismail, Mourad El-Houssieny"
Published as: Ismail, Mourad E. H.; Ismail, M. E. H.; Ismail, Mourad El-Houssieny; Ismail, Mourad; Ismail, Mourad E.-H.; Ismail, Mourad E.; Mourad, El-Houssieny Ismail; Ismail, E. H. Mourad; Ismail, M. E.; Ismail, M. H.
Homepage: https://sciences.ucf.edu/math/person/mourad-ismail/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
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Co-Authors

59 single-authored
23 Stanton, Dennis W.
19 Zhang, Ruiming
18 Simeonov, Plamen C.
15 Chen, Yang
15 Masson, David R.
14 Rahman, Mizan
11 Askey, Richard Allen
10 Koelink, Erik
9 Bustoz, Joaquin jun.
9 Valent, Galliano
8 Muldoon, Martin E.
7 Al-Salam, Waleed A.
7 Letessier, Jean
6 Li, Xin
5 Dai, Dan
5 Mansour, Zeinab S. I.
5 Van Assche, Walter
5 Wang, Xiangsheng
5 Wimp, Jet
4 Charris Castañeda, Jairo Alberto
4 Muttalib, K. A.
4 Suslov, Sergei K.
4 Zeng, Jiang
3 Alhaidari, Abdulaziz D.
3 Chiang, Yik-Man
3 Clark, W. Edwin
3 Cohl, Howard Saul
3 Dimitrov, Dimitar K.
3 Fields, Jerry Leon
3 Genest, Vincent X.
3 Grinshpan, Arcadii Z.
3 Gupta, Dharma P.
3 Saad, Nasser
3 Vinet, Luc
3 Zhedanov, Alexei S.
3 Zhou, Keru
2 Ali, Syed Twareque
2 Annaby, Mahmoud H.
2 Ashour, Ola A.
2 Berg, Christian
2 Bhatnagar, Gaurav
2 Brown, B. Malcolm
2 Chen, Li-Chen
2 Chihara, Theodore Seio
2 El-Guindy, Ahmad
2 Garvan, Frank G.
2 Gasper, George Jun
2 Ihrig, Edwin C.
2 Kelker, Douglas H.
2 Koornwinder, Tom H.
2 Laforgia, Andrea
2 May, C. Ping
2 Nevai, Paul G.
2 Rashed, Thanaa M. T.
2 Román, Pablo Manuel
2 Sri Ranga, Alagacone
2 Zayed, Ahmed I.
1 Abu Risha, M. H.
1 Al-Salam, Nadhla A.
1 Alladi, Krishnaswami
1 Aslan, Hatice
1 Bahlouli, Hocine
1 Bank, Edward
1 Baricz, Árpád
1 Batir, Necdet
1 Bressoud, David M.
1 Bryc, Włodzimierz
1 Carteret, Hilary A.
1 Christiansen, Jacob Stordal
1 Dunkl, Charles F.
1 Durán, Antonio José
1 El Ayadi, Moataz M. H.
1 Evans, Ronald J.
1 Evans, William Desmond
1 Gadjev, Ivan
1 Garrett, Kristina C.
1 Ghaleb, Ahmed Fouad
1 Gillis, Joseph E.
1 Gishe, Jemal
1 Glasser, M. Lawrence
1 Gosper, R. William jun.
1 Griffin, James C.
1 Groenevelt, Wolter G. M.
1 Guo, Senlin
1 Jing, Naihuan
1 Johnston, Sarah Jane
1 Kasraoui, Anisse
1 Kim, Dongsu
1 Law, Chun-Kong
1 Lefebvre-Lepot, Aline
1 Libis, Carl A.
1 Lin, Shao-Shiung
1 Lorch, Lee
1 Ma, Jifeng
1 Ma, Wen-Xiu
1 Mansour, Zeinab Sayed
1 Merkes, Edward P.
1 Miller, Kenneth S.
1 Milligan, David L.
1 Monsalve, Sergio
...and 34 more Co-Authors
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Serials

23 Journal of Mathematical Analysis and Applications
22 Proceedings of the American Mathematical Society
19 Advances in Applied Mathematics
17 Canadian Journal of Mathematics
17 SIAM Journal on Mathematical Analysis
15 Journal of Approximation Theory
14 Journal of Computational and Applied Mathematics
11 Pacific Journal of Mathematics
11 Transactions of the American Mathematical Society
10 Analysis and Applications (Singapore)
9 Constructive Approximation
7 Journal of Physics A: Mathematical and General
6 The Ramanujan Journal
5 Advances in Mathematics
5 Comptes Rendus Mathématiques de l’Académie des Sciences
4 Journal of Mathematical Physics
4 Illinois Journal of Mathematics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Applicable Analysis
3 Rocky Mountain Journal of Mathematics
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series A
3 Studies in Applied Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Methods and Applications of Analysis
3 Annals of Combinatorics
3 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
2 Ars Combinatoria
2 IMRN. International Mathematics Research Notices
2 Journal of Difference Equations and Applications
2 Fractional Calculus & Applied Analysis
2 Contemporary Mathematics
2 Encyclopedia of Mathematics and Its Applications
2 Developments in Mathematics
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 The Mathematical Intelligencer
1 The Annals of Probability
1 Biometrical Journal
1 The Fibonacci Quarterly
1 Indian Journal of Mathematics
1 Journal of Functional Analysis
1 Mathematica Japonica
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 European Journal of Combinatorics
1 Complex Variables. Theory and Application
1 Physica D
1 Applied Numerical Mathematics
1 Differential and Integral Equations
1 Aequationes Mathematicae
1 Buletinul Institutului Politehnic din Iași. Secția I
1 Linear Algebra and its Applications
1 Notices of the American Mathematical Society
1 Journal of the Egyptian Mathematical Society
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Integral Transforms and Special Functions
1 Arab Journal of Mathematical Sciences
1 Séminaire Lotharingien de Combinatoire
1 Mathematical Inequalities & Applications
1 Physical Review Letters
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Difference Equations
1 International Journal of Number Theory
1 Fields Institute Communications
1 London Mathematical Society Lecture Note Series
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 IET Communications
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Fields

278 Special functions (33-XX)
68 Harmonic analysis on Euclidean spaces (42-XX)
42 Combinatorics (05-XX)
33 Functions of a complex variable (30-XX)
28 Approximations and expansions (41-XX)
26 Difference and functional equations (39-XX)
22 Number theory (11-XX)
21 Probability theory and stochastic processes (60-XX)
19 Real functions (26-XX)
18 Integral transforms, operational calculus (44-XX)
14 Ordinary differential equations (34-XX)
12 General and overarching topics; collections (00-XX)
11 Quantum theory (81-XX)
10 Operator theory (47-XX)
9 History and biography (01-XX)
9 Sequences, series, summability (40-XX)
8 Integral equations (45-XX)
6 Numerical analysis (65-XX)
5 Statistical mechanics, structure of matter (82-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
3 Information and communication theory, circuits (94-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Partial differential equations (35-XX)
2 Functional analysis (46-XX)
2 Fluid mechanics (76-XX)
2 Operations research, mathematical programming (90-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

Citations contained in zbMATH Open

279 Publications have been cited 4,397 times in 2,568 Documents Cited by Year
Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016
Ismail, Mourad E. H.
482
2005
Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Zbl 1172.42008
Ismail, Mourad E. H.
115
2009
A generalization of starlike functions. Zbl 0708.30014
Ismail, Mourad E. H.; Merkes, Edward; Styer, David
103
1990
Recurrence relations, continued fractions and orthogonal polynomials. Zbl 0548.33001
Askey, Richard; Ismail, Mourad
100
1984
The combinatorics of q-Hermite polynomials and the Askey-Wilson integral. Zbl 0642.33006
Ismail, Mourad E. H.; Stanton, Dennis; Viennot, Gérard
93
1987
The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials. Zbl 0483.33004
Ismail, Mourad E. H.
83
1982
Ladder operators and differential equations for orthogonal polynomials. Zbl 0927.33011
Chen, Yang; Ismail, Mourad E. H.
82
1997
On gamma function inequalities. Zbl 0607.33002
Bustoz, Joaquin; Ismail, Mourad E. H.
73
1986
A generalization of ultraspherical polynomials. Zbl 0532.33006
Askey, R.; Ismail, Mourad E.-H.
62
1983
Generalized orthogonality and continued fractions. Zbl 0846.33005
Ismail, Mourad E. H.; Masson, David R.
59
1995
Completely monotonic functions associated with the gamma function and its q-analogues. Zbl 0589.33001
Ismail, Mourad E. H.; Lorch, Lee; Muldoon, Martin E.
56
1986
Completely monotonic functions involving the gamma and \(q\)-gamma functions. Zbl 1085.33001
Grinshpan, Arcadii Z.; Ismail, Mourad E. H.
54
2006
\(q\)-Hermite polynomials, biorthogonal rational functions, and \(q\)-beta integrals. Zbl 0812.33012
Ismail, M. E. H.; Masson, D. R.
52
1994
An electrostatics model for zeros of general orthogonal polynomials. Zbl 1011.33011
Ismail, Mourad E. H.
51
2000
Bound on the extreme zeros of orthogonal polynomials. Zbl 0744.33005
Ismail, Mourad E. H.; Li, Xin
49
1992
Linear \(q\)-difference equations. Zbl 1143.39009
Abu Risha, M. H.; Annaby, M. H.; Ismail, M. E. H.; Mansour, Z. S.
46
2007
On a family of approximation operators. Zbl 0375.41011
Ismail, Mourad E. H.; May, C. Ping
45
1978
Variants of the Rogers-Ramanujan identities. Zbl 0944.33015
Garrett, Kristina; Ismail, Mourad E. H.; Stanton, Dennis
43
1999
\(q\)-difference operators for orthogonal polynomials. Zbl 1185.39005
Ismail, Mourad E. H.; Simeonov, Plamen
41
2009
The associated Askey-Wilson polynomials. Zbl 0738.33011
Ismail, Mourad E. H.; Rahman, Mizan
41
1991
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
40
2000
A simple proof of Ramanujan’s \(_1\Psi_1\)sum. Zbl 0351.33002
Ismail, Mourad E. H.
40
1977
Special functions, Stieltjes transforms and infinite divisibility. Zbl 0427.60021
Ismail, Mourad E. H.; Kelker, Douglas H.
40
1979
Linear birth and death models and associated Laguerre and Meixner polynomials. Zbl 0656.60092
Ismail, Mourad E. H.; Letessier, Jean; Valent, Galliano
38
1988
Jacobi polynomials from compatibility conditions. Zbl 1057.33004
Chen, Yang; Ismail, Mourad
38
2005
On the Askey-Wilson and Rogers polynomials. Zbl 0649.33005
Ismail, Mourad E. H.; Stanton, Dennis
37
1988
Diagonalization of certain integral operators. Zbl 0838.33012
Ismail, Mourad E. H.; Zhang, Ruiming
37
1994
Monotonicity of the zeros of a cross-product of Bessel functions. Zbl 0388.33005
Ismail, Mourad E. H.; Muldoon, Martin E.
37
1978
\(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions. Zbl 1035.30025
Ismail, Mourad E. H.; Stanton, Dennis
36
2003
Bounds for the small real and purely imaginary zeros of Bessel and related functions. Zbl 0845.33003
Ismail, Mourad E. H.; Muldoon, Martin E.
35
1995
Asymptotics of \(q\)-orthogonal polynomials and a \(q\)-Airy function. Zbl 1072.33014
Ismail, Mourad E. H.
34
2005
Inequalities and monotonicity properties for gamma and \(q\)-gamma functions. Zbl 0819.33001
Ismail, Mourad E.; Muldoon, Martin E.
33
1994
On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions. Zbl 0651.33007
Ismail, Mourad E. H.; Muldoon, Martin E.
32
1988
Bessel functions and the infinite divisibility of the Student \(t\)-distribution. Zbl 0369.60023
Ismail, Mourad E. H.
30
1977
On a generalization of Szasz operators. Zbl 0385.41015
Ismail, Mourad El-Houssieny
30
1974
Analytic properties of complex Hermite polynomials. Zbl 1339.33015
Ismail, Mourad E. H.
30
2016
The associated ultraspherical polynomials and their q-analogues. Zbl 0451.33003
Bustoz, Joaquin; Ismail, Mourad E. H.
28
1982
The Dunkl oscillator in the plane. Part I: Superintegrability, separated wavefunctions and overlap coefficients. Zbl 1267.81139
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
28
2013
\(q\)-Hermite polynomials and classical orthogonal polynomials. Zbl 0858.33015
Berg, Christian; Ismail, Mourad E. H.
27
1996
Thermodynamic relations of the Hermitian matrix ensembles. Zbl 1042.82550
Chen, Yang; Ismail, Mourad E. H.
27
1997
A discrete approach to monotonicity of zeros of orthogonal polynomials. Zbl 0718.33004
Ismail, Mourad E. H.; Muldoon, Martin E.
26
1991
On asymptotics of Jacobi polynomials. Zbl 0735.33004
Chen, Li-Chen; Ismail, Mourad E. H.
25
1991
Small eigenvalues of large Hankel matrices: The indeterminate case. Zbl 1018.47020
Berg, Christian; Chen, Yang; Ismail, Mourad E. H.
25
2002
Monotonicity properties of determinants of special functions. Zbl 1117.33004
Ismail, Mourad E. H.; Laforgia, Andrea
24
2007
Asymptotic and generating relations for the \(q\)-Jacobi and \(_4\phi_3\) polynomials. Zbl 0489.33011
Ismail, Mourad E. H.; Wilson, James A.
24
1982
Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction. Zbl 0526.33009
Al-Salam, Waleed A.; Ismail, Mourad E. H.
24
1983
Applications of \(q\)-Taylor theorems. Zbl 1024.33012
Ismail, Mourad E. H.; Stanton, Dennis
24
2003
The Askey-Wilson operator and summation theorems. Zbl 0839.33010
Ismail, Mourad E. H.
23
1995
Classical orthogonal polynomials as moments. Zbl 0882.33012
Ismail, Mourad E. H.; Stanton, Dennis
23
1997
The Dunkl oscillator in the plane. II: Representations of the symmetry algebra. Zbl 1292.81041
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
23
2014
The basic Bessel functions and polynomials. Zbl 0456.33005
Ismail, Mourad E. H.
22
1981
On the Hellmann-Feynman theorem and the variation of zeros of certain special functions. Zbl 0684.33004
Ismail, Mourad E. H.; Zhang, Ruiming
21
1988
Spectral properties of operators using tridiagonalization. Zbl 1248.33019
Ismail, Mourad E. H.; Koelink, Erik
21
2012
On sieved orthogonal polynomials. X: General blocks of recurrence relations. Zbl 0805.33006
Charris, Jairo A.; Ismail, Mourad E. H.; Monsalve, Sergio
21
1994
Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra. Zbl 1351.33010
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
21
2016
q-beta integrals and the q-Hermite polynomials. Zbl 0658.33002
Al-Salam, W. A.; Ismail, Mourad E. H.
20
1988
More on electrostatic models for zeros of orthogonal polynomials. Zbl 0981.42015
Ismail, Mourad E. H.
20
2000
\(q\)-integral and moment representations for \(q\)-orthogonal polynomials. Zbl 1009.33015
Ismail, Mourad E. H.; Stanton, Dennis
20
2002
Zeros of entire functions and a problem of Ramanujan. Zbl 1107.33018
Ismail, Mourad E. H.; Zhang, Changgui
19
2007
Sieved orthogonal polynomials. VII: Generalized polynomial mappings. Zbl 0790.33007
Charris, Jairo A.; Ismail, Mourad E. H.
19
1993
The variation of zeros of certain orthogonal polynomials. Zbl 0628.33001
Ismail, Mourad E. H.
18
1987
On sieved orthogonal polynomials. V: Sieved Pollaczek polynomials. Zbl 0645.33018
Charris, Jairo A.; Ismail, Mourad E. H.
18
1987
Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I. Zbl 0681.33011
Ismail, Mourad E. H.; Libis, Carl A.
18
1989
Ladder operators for \(q\)-orthogonal polynomials. Zbl 1154.33010
Chen, Yang; Ismail, Mourad E. H.
18
2008
The \(J\)-matrix method. Zbl 1216.33020
Ismail, Mourad E. H.; Koelink, Erik
18
2011
Permutation problems and special functions. Zbl 0313.05005
Askey, Richard; Ismail, Mourad E. H.
18
1976
Difference equations and quantized discriminants for \(q\)-orthogonal polynomials. Zbl 1032.33012
Ismail, Mourad E. H.
18
2003
Some indetermining moment problems and Freud-like weights. Zbl 0913.30024
Chen, Yang; Ismail, M. E. H.
17
1998
The \(q\)-Laguerre polynomials and related moment problems. Zbl 0893.33009
Ismail, Mourad E. H.; Rahman, Mizan
17
1998
Two families of associated Wilson polynomials. Zbl 0712.33005
Ismail, M. E. H.; Letessier, J.; Valent, G.; Wimp, J.
17
1990
On sieved orthogonal polynomials. IX: Orthogonality on the unit circle. Zbl 0771.33007
Ismail, Mourad E. H.; Li, Xin
17
1992
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
16
1996
Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials. Zbl 0878.33011
Gupta, D. P.; Ismail, M. E. H.; Masson, D. R.
16
1996
Discriminants and functional equations for polynomials orthogonal on the unit circle. Zbl 0982.33004
Ismail, Mourad E. H.; Witte, Nicholas S.
16
2001
Three routes to the exact asymptotics for the one-dimensional quantum walk. Zbl 1049.82025
Carteret, Hilary A.; Ismail, Mourad E. H.; Richmond, Bruce
16
2003
Inequalities involving gamma and psi functions. Zbl 1042.33002
Clark, W. Edwin; Ismail, Mourad E. H.
16
2003
On the positivity of some \(_1F_2\)’s. Zbl 0301.33002
Fields, Jerry L.; Ismail, Mourad El-Houssieny
16
1975
Complex Hermite polynomials: their combinatorics and integral operators. Zbl 1308.05009
Ismail, Mourad E. H.; Simeonov, Plamen
16
2015
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H.
16
2015
Some combinatorial and analytical identities. Zbl 1256.05021
Ismail, Mourad E. H.; Stanton, Dennis
16
2012
Quadratic birth and death processes and associated continuous dual Hahn polynomials. Zbl 0692.33009
Ismail, Mourad E. H.; Letessier, Jean; Valent, Galliano
15
1989
Difference equations and discriminants for discrete orthogonal polynomials. Zbl 1081.33014
Ismail, Mourad E. H.; Nikolova, Inna; Simeonov, Plamen
15
2004
Integral representations and complete monotonicity of various quotients of Bessel functions. Zbl 0343.33005
Ismail, Mourad E. H.
15
1977
A queueing model and a set of orthogonal polynomials. Zbl 0579.60093
Ismail, Mourad E. H.
15
1985
A \(q\)-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem. Zbl 1053.33002
Ismail, Mourad E.; Zayed, Ahmed I.
15
2003
Turán type inequalities for Tricomi confluent hypergeometric functions. Zbl 1273.33006
Baricz, Árpád; Ismail, Mourad E. H.
15
2013
On sampling theory and basic Sturm-Liouville systems. Zbl 1128.39014
Annaby, M. H.; Bustoz, J.; Ismail, M. E. H.
14
2007
Discriminants and functions of the second kind of orthogonal polynomials. Zbl 0911.42012
Ismail, Mourad E. H.
14
1998
Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials. Zbl 0997.33008
Ismail, Mourad E. H.; Rahman, Mizan
14
2002
Strong asymptotics for Krawtchouk polynomials. Zbl 0948.41018
Ismail, Mourad E. H.; Simeonov, Plamen
14
1998
On sieved orthogonal polynomials. I: Symmetric Pollaczek analogues. Zbl 0576.33005
Ismail, Mourad E. H.
14
1985
On sieved orthogonal polynomials. III: Orthogonality on several intervals. Zbl 0612.33009
Ismail, Mourad E. H.
14
1986
Relation between polynomials orthogonal on the unit circle with respect to different weights. Zbl 0752.33004
Ismail, Mourad E. H.; Ruedemann, Richard W.
14
1992
Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials. Zbl 1259.05022
Ismail, Mourad E. H.; Kasraoui, Anisse; Zeng, Jiang
14
2013
On sieved orthogonal polynomials. IV. Generating functions. Zbl 0645.33017
Ismail, Mourad E. H.
13
1986
Complete monotonicity of modified Bessel functions. Zbl 0685.33004
Ismail, Mourad E. H.
13
1990
More orthogonal polynomials as moments. Zbl 0905.05083
Ismail, Mourad E. H.; Stanton, Dennis
13
1998
Lattice paths and positive trigonometric sums. Zbl 0924.42004
Ismail, M. E. H.; Kim, D.; Stanton, D.
13
1999
On differential equations for orthogonal polynomials. Zbl 0932.33007
Ismail, Mourad E. H.; Wimp, Jet
13
1998
The attractive Coulomb potential polynomials. Zbl 0584.42016
Bank, Edward; Ismail, Mourad E. H.
13
1985
\(q\)-fractional Askey-Wilson integrals and related semigroups of operators. Zbl 07631007
Ismail, Mourad E. H.; Zhang, Ruiming; Zhou, Keru
2
2022
The legacy of Dick Askey (1933–2019). Zbl 1493.01048
Cohl, Howard S.; Ismail, Mourad E. H.; Wu, Hung-Hsi
1
2022
Encyclopedia of special functions: the Askey-Bateman project. Volume 1. Univariate orthogonal polynomials. With the assistance by Walter van Assche. Zbl 1466.33001
10
2020
The asymptotic iteration method revisited. Zbl 1443.34021
Ismail, Mourad E. H.; Saad, Nasser
4
2020
Solutions of the Al-Salam-Chihara and allied moment problems. Zbl 1432.33017
Ismail, Mourad E. H.
2
2020
A discrete and \(q\) asymptotic iteration method. Zbl 1454.39010
Ismail, Mourad E. H.; Saad, Nasser
1
2020
A necessary and sufficient condition for sequences to be minimal completely monotonic. Zbl 1487.26016
Wang, Xi-Feng; Ismail, Mourad E. H.; Batir, Necdet; Guo, S.
1
2020
On a Ramanujan type entire function and its zeros. Zbl 1445.30015
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng
1
2020
\(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle. Zbl 1405.33017
Ismail, M. E. H.; Ranga, A. Sri
11
2019
Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice. Zbl 1431.33011
Ismail, Mourad E. H.; Koelink, Erik; Román, Pablo
9
2019
Doubly infinite Jacobi matrices revisited: resolvent and spectral measure. Zbl 07003588
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng
6
2019
\(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials. Zbl 1423.05029
Ismail, Mourad E. H.; Mansour, Zeinab S. I.
4
2019
A \(q\)-translation approach to Liu’s calculus. Zbl 1433.05045
Aslan, Hatice; Ismail, Mourad E. H.
4
2019
On quasi-orthogonal polynomials: their differential equations, discriminants and electrostatics. Zbl 1479.33008
Ismail, Mourad E. H.; Wang, Xiang-Sheng
3
2019
Spectral analysis of two doubly infinite Jacobi matrices with exponential entries. Zbl 07011433
Ismail, Mourad E. H.; Štampach, František
3
2019
Asymptotics of partition functions in a fermionic matrix model and of related \(q\)-polynomials. Zbl 1419.81028
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng
1
2019
\(q\)-Bessel functions and Rogers-Ramanujan type identities. Zbl 1409.11082
Ismail, Mourad E. H.; Zhang, Ruiming
11
2018
Integral and series representations of \(q\)-polynomials and functions. I. Zbl 1387.33022
Ismail, Mourad E. H.; Zhang, Ruiming
7
2018
Generalized Burchnall-type identities for orthogonal polynomials and expansions. Zbl 1393.33013
Ismail, Mourad E. H.; Koelink, Erik; Román, Pablo
6
2018
On some \(2D\) orthogonal \(q\)-polynomials. Zbl 1380.33004
Ismail, Mourad E. H.; Zhang, Ruiming
10
2017
A review of multivariate orthogonal polynomials. Zbl 1371.33025
Ismail, Mourad E. H.; Zhang, Ruiming
7
2017
Integral and series representations of \(q\)-polynomials and functions. II: Schur polynomials and the Rogers-Ramanujan identities. Zbl 1380.33010
Ismail, Mourad E. H.; Zhang, Ruiming
4
2017
Diophantine properties of orthogonal polynomials and rational functions. Zbl 1362.33012
Ismail, Mourad E. H.; Rahman, Mizan
3
2017
Inequalities for gamma and \(q\)-gamma functions of complex arguments. Zbl 1371.33004
Ismail, Mourad E. H.
3
2017
Combinatorial and analytic properties of the \(n\)-dimensional Hermite polynomials. Zbl 1366.33012
Ismail, Mourad E. H.; Simeonov, Plamen
1
2017
Analytic properties of complex Hermite polynomials. Zbl 1339.33015
Ismail, Mourad E. H.
30
2016
Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra. Zbl 1351.33010
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
21
2016
Classes of bivariate orthogonal polynomials. Zbl 1333.33019
Ismail, Mourad E. H.; Zhang, Ruiming
11
2016
Kibble-Slepian formula and generating functions for 2D polynomials. Zbl 1347.33022
Ismail, Mourad E. H.; Zhang, Ruiming
8
2016
Formulas and identities involving the Askey-Wilson operator. Zbl 1336.33026
Ismail, Mourad E. H.; Simeonov, Plamen
4
2016
Complex Hermite polynomials: their combinatorics and integral operators. Zbl 1308.05009
Ismail, Mourad E. H.; Simeonov, Plamen
16
2015
Quantum mechanics without potential function. Zbl 1330.81105
Alhaidari, A. D.; Ismail, M. E. H.
16
2015
A combinatorial approach to the 2D-Hermite and 2D-Laguerre polynomials. Zbl 1305.33026
Ismail, Mourad E. H.; Zeng, Jiang
9
2015
Two variable extensions of the Laguerre and disc polynomials. Zbl 1309.33015
Ismail, Mourad E. H.; Zeng, Jiang
8
2015
Expansions in the Askey-Wilson polynomials. Zbl 1309.33020
Ismail, Mourad E. H.; Stanton, Dennis
8
2015
On certain dual \(q\)-integral equations. Zbl 1316.45004
Ashour, Ola A.; Ismail, Mourad E. H.; Mansour, Zeinab S.
4
2015
Asymptotics for Laguerre polynomials with large order and parameters. Zbl 1315.33013
Dai, Dan; Ismail, Mourad E. H.; Wang, Jun
2
2015
Landau constants and their \(q\)-analogues. Zbl 1312.41041
Ismail, Mourad E. H.; Li, Xin; Rahman, M.
2
2015
Heine representations and monotonicity properties of determinants and Pfaffians. Zbl 1346.15005
Ismail, Mourad E. H.; Simeonov, Plamen
1
2015
The Dunkl oscillator in the plane. II: Representations of the symmetry algebra. Zbl 1292.81041
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
23
2014
Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems. Zbl 1315.41014
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng
8
2014
Functions of the second kind for classical polynomials. Zbl 1285.33013
Ismail, Mourad E. H.; Mansour, Zeinab S. I.
2
2014
On the Atkin polynomials. Zbl 1311.33009
El-Guindy, Ahmad; Ismail, Mourad E. H.
1
2014
The Dunkl oscillator in the plane. Part I: Superintegrability, separated wavefunctions and overlap coefficients. Zbl 1267.81139
Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei
28
2013
Turán type inequalities for Tricomi confluent hypergeometric functions. Zbl 1273.33006
Baricz, Árpád; Ismail, Mourad E. H.
15
2013
Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials. Zbl 1259.05022
Ismail, Mourad E. H.; Kasraoui, Anisse; Zeng, Jiang
14
2013
A class of hypergeometric polynomials with zeros on the unit circle: extremal and orthogonal properties and quadrature formulas. Zbl 1268.33007
Dimitrov, D. K.; Ismail, M. E. H.; Sri Ranga, A.
9
2013
Interlacing of zeros of orthogonal polynomials under modification of the measure. Zbl 1337.30003
Dimitrov, Dimitar K.; Ismail, Mourad E. H.; Rafaeli, Fernando R.
7
2013
Spectral decomposition and matrix-valued orthogonal polynomials. Zbl 1286.42035
Groenevelt, Wolter; Ismail, Mourad E. H.; Koelink, Erik
7
2013
Asymptotics of generalized derangements. Zbl 1270.33004
Ismail, Mourad E. H.; Simeonov, Plamen
3
2013
Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials. Zbl 1272.33019
Ismail, Mourad E. H.; Li, Xin
2
2013
Spectral properties of operators using tridiagonalization. Zbl 1248.33019
Ismail, Mourad E. H.; Koelink, Erik
21
2012
Some combinatorial and analytical identities. Zbl 1256.05021
Ismail, Mourad E. H.; Stanton, Dennis
16
2012
Spectral analysis of certain Schrödinger operators. Zbl 1270.30003
Ismail, Mourad E. H.; Koelink, Erik
13
2012
Some orthogonal polynomials arising from coherent states. Zbl 1245.81052
Ali, S. Twareque; Ismail, Mourad E. H.
4
2012
Connection relations and characterizations of orthogonal polynomials. Zbl 1248.33033
Ismail, Mourad E. H.; Simeonov, Plamen
3
2012
The Dirac-Coulomb problem: a mathematical revisit. Zbl 1255.81131
Alhaidari, A. D.; Bahlouli, H.; Ismail, M. E. H.
3
2012
Orthogonal basic hypergeometric Laurent polynomials. Zbl 1270.33009
Ismail, Mourad E. H.; Stanton, Dennis
1
2012
The \(J\)-matrix method. Zbl 1216.33020
Ismail, Mourad E. H.; Koelink, Erik
18
2011
Connection relations and expansions. Zbl 1235.05020
Ismail, Mourad E. H.; Rahman, Mizan
9
2011
Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials. Zbl 1215.39007
Ismail, Mourad E. H.; Simeonov, Plamen
5
2011
Equations of motion for zeros of orthogonal polynomials related to the Toda lattices. Zbl 1216.33024
Ismail, Mourad E. H.; Ma, Wen-Xiu
5
2011
On a family of positive linear integral operators. Zbl 1248.41026
Ismail, Mourad; Simeonov, Plamen
3
2011
Characterizations of continuous and discrete \(q\)-ultraspherical polynomials. Zbl 1214.33010
Ismail, Mourad E. H.; Obermaier, Josef
3
2011
Structure relations for \(q\)-polynomials and some applications. Zbl 1216.33039
Ismail, Mourad E. H.; Johnston, Sarah Jane; Mansour, Zeinab Sayed
3
2011
Orthogonal polynomials, their recursions, and functional equations. Zbl 1234.33013
Ismail, Mourad E. H.
1
2011
Hypergeometric origins of Diophantine properties associated with the Askey scheme. Zbl 1193.33016
Chen, Yang; Ismail, Mourad E. H.
8
2010
\(q\)-analogues of Freud weights and nonlinear difference equations. Zbl 1211.39007
Ismail, Mourad E. H.; Mansour, Z. S. I.
7
2010
Addition theorems via continued fractions. Zbl 1194.33017
Ismail, Mourad E. H.; Zeng, Jiang
2
2010
Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Zbl 1172.42008
Ismail, Mourad E. H.
115
2009
\(q\)-difference operators for orthogonal polynomials. Zbl 1185.39005
Ismail, Mourad E. H.; Simeonov, Plamen
41
2009
One parameter generalizations of the Fibonacci and Lucas numbers. Zbl 1234.11016
Ismail, Mourad E. H.
7
2009
Structure relations for orthogonal polynomials. Zbl 1166.42014
Ismail, Mourad E. H.
4
2009
Ladder operators for \(q\)-orthogonal polynomials. Zbl 1154.33010
Chen, Yang; Ismail, Mourad E. H.
18
2008
Resultants of Chebyshev polynomials. Zbl 1194.12001
Gishe, Jemal; Ismail, Mourad E. H.
9
2008
Linear \(q\)-difference equations. Zbl 1143.39009
Abu Risha, M. H.; Annaby, M. H.; Ismail, M. E. H.; Mansour, Z. S.
46
2007
Monotonicity properties of determinants of special functions. Zbl 1117.33004
Ismail, Mourad E. H.; Laforgia, Andrea
24
2007
Zeros of entire functions and a problem of Ramanujan. Zbl 1107.33018
Ismail, Mourad E. H.; Zhang, Changgui
19
2007
On sampling theory and basic Sturm-Liouville systems. Zbl 1128.39014
Annaby, M. H.; Bustoz, J.; Ismail, M. E. H.
14
2007
Scaled asymptotics for \(q\)-orthogonal polynomials. Zbl 1110.33011
Ismail, Mourad E. H.; Zhang, Ruiming
6
2007
Generalizations of Chebyshev polynomials and polynomial mappings. Zbl 1176.33011
Chen, Yang; Griffin, James; Ismail, Mourad E. H.
4
2007
Inequalities and asymptotics for a terminating \({}_4F_3\) series. Zbl 1156.33002
Ismail, Mourad E. H.; Simeonov, Plamen
2
2007
Completely monotonic functions involving the gamma and \(q\)-gamma functions. Zbl 1085.33001
Grinshpan, Arcadii Z.; Ismail, Mourad E. H.
54
2006
A moment problem and a family of integral evaluations. Zbl 1089.33016
Christiansen, Jacob S.; Ismail, Mourad E. H.
11
2006
Chaotic and periodic asymptotics for \(q\)-orthogonal polynomials. Zbl 1109.33025
Ismail, Mourad E. H.; Zhang, Ruiming
10
2006
On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials. Zbl 1115.34081
Chiang, Yik-Man; Ismail, Mourad E. H.
9
2006
Functional inequalities for incomplete gamma and related functions. Zbl 1098.33001
Ismail, Mourad E. H.; Laforgia, Andrea
5
2006
Differential coefficients of orthogonal matrix polynomials. Zbl 1100.42017
Duran, Antonio J.; Ismail, Mourad E. H.
4
2006
Ramanujan continued fractions via orthogonal polynomials. Zbl 1103.11003
Ismail, Mourad E. H.; Stanton, Dennis
2
2006
On formulas of Ramanujan and Evans. Zbl 1106.33005
Ismail, Mourad E. H.
2
2006
Orthogonal polynomials and Ramanujan’s \(q\)-continued fractions. Zbl 1107.33010
Ismail, Mourad E. H.; Li, Xin
1
2006
Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016
Ismail, Mourad E. H.
482
2005
Jacobi polynomials from compatibility conditions. Zbl 1057.33004
Chen, Yang; Ismail, Mourad
38
2005
Asymptotics of \(q\)-orthogonal polynomials and a \(q\)-Airy function. Zbl 1072.33014
Ismail, Mourad E. H.
34
2005
Determinants with orthogonal polynomial entries. Zbl 1083.15011
Ismail, Mourad E. H.
13
2005
New proofs of some \(q\) -series results. Zbl 1219.33019
Ismail, Mourad E. H.; Zhang, Ruiming
5
2005
Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. Zbl 1124.33001
1
2005
Difference equations and discriminants for discrete orthogonal polynomials. Zbl 1081.33014
Ismail, Mourad E. H.; Nikolova, Inna; Simeonov, Plamen
15
2004
\(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions. Zbl 1035.30025
Ismail, Mourad E. H.; Stanton, Dennis
36
2003
Applications of \(q\)-Taylor theorems. Zbl 1024.33012
Ismail, Mourad E. H.; Stanton, Dennis
24
2003
...and 179 more Documents
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Cited by 2,229 Authors

149 Ismail, Mourad El-Houssieny
56 Chen, Yang
45 Zhedanov, Alexei S.
42 Vinet, Luc
41 Baricz, Árpád
40 Srivastava, Hari Mohan
38 Marcellán Español, Francisco
35 Van Assche, Walter
28 Qi, Feng
27 Sri Ranga, Alagacone
27 Zhang, Ruiming
26 Koelink, Erik
25 Castillo, Kenier
23 Cao, Jian
22 Alhaidari, Abdulaziz D.
21 Area, Iván
21 Filipuk, Galina V.
21 Tariboon, Jessada
21 Yang, Zhenhang
20 Rahman, Mizan
20 Stanton, Dennis W.
19 Jordaan, Kerstin
18 Branquinho, Amílcar José Pinto Lopes
18 Ntouyas, Sotiris K.
18 Wong, Roderick Sue-Chuen
18 Zeng, Jiang
17 Berg, Christian
17 Dimitrov, Dimitar K.
17 Gupta, Vijay
16 Khan, Bilal
16 Khan, Nazar
16 Szabłowski, Paweł Jerzy
15 Alzer, Horst
15 Bouzeffour, Fethi
15 Dominici, Diego Ernesto
15 Godoy, Eduardo Paciência
15 Simeonov, Plamen C.
15 Zhu, Mengkun
14 Foulquié Moreno, Ana Pilar
14 Petronilho, José C.
13 Ahmad, Qazi Zahoor
13 Atakishiev, Natig M.
13 Bryc, Włodzimierz
13 Darus, Maslina
13 Karp, Dmitriĭ Borisovich
13 Martínez-Finkelshtein, Andrei
12 Annaby, Mahmoud H.
12 Ghanmi, Allal
12 Mansour, Zeinab S. I.
12 Muldoon, Martin E.
12 Tian, Jingfeng
12 Tsujimoto, Satoshi
11 Bracciali, Cleonice Fátima
11 Chu, Wenchang
11 Driver, Kathy A.
11 Forrester, Peter J.
11 Guo, Bai-Ni
11 Mouayn, Zouhaïr
11 Wang, Xiangsheng
11 Zhao, Yuqiu
10 Abreu, Luís Daniel
10 Ahmad, Bashir
10 Chung, Won-Sang
10 Genest, Vincent X.
10 Koepf, Wolfram A.
10 Mañas, Manuel
10 Štampach, František
10 Swaminathan, Anbhu
10 Tahir, Muhammad
9 Chu, Yuming
9 Dehesa, Jesús S.
9 Derevyagin, Maxim S.
9 Fitouhi, Ahmed
9 Foupouagnigni, Mama
9 Griffin, James C.
9 Koornwinder, Tom H.
9 Mbouna, D.
9 Rafaeli, Fernando Rodrigo
9 Ronveaux, André
9 Sasaki, Ryu
9 Schlosser, Michael J.
9 Suslov, Sergei K.
8 Cohl, Howard Saul
8 Dai, Dan
8 Grünbaum, Francisco Alberto
8 Guo, Victor J. W.
8 Hassanabadi, Hassan
8 Masjed-Jamei, Mohammad
8 Mehrez, Khaled
8 Min, Chao
8 Moreno-Balcázar, Juan José
8 Nevai, Paul G.
8 Pogány, Tibor K.
8 Szwarc, Ryszard
8 Valent, Galliano
8 van Diejen, Jan Felipe
8 Zhang, Lun
8 Zhang, Zhizheng
7 Agrawal, Purshottam Narain
7 Aktaş, Rabia
...and 2,129 more Authors
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Cited in 396 Serials

199 Journal of Mathematical Analysis and Applications
155 Journal of Approximation Theory
130 Journal of Computational and Applied Mathematics
125 Proceedings of the American Mathematical Society
113 The Ramanujan Journal
89 Journal of Mathematical Physics
60 Integral Transforms and Special Functions
53 Advances in Applied Mathematics
46 Applied Mathematics and Computation
43 Constructive Approximation
41 Journal of Difference Equations and Applications
38 Advances in Difference Equations
37 Transactions of the American Mathematical Society
31 Advances in Mathematics
25 Journal of Combinatorial Theory. Series A
24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
23 Results in Mathematics
23 Journal of Inequalities and Applications
23 Journal of Physics A: Mathematical and Theoretical
22 Communications in Mathematical Physics
21 Rocky Mountain Journal of Mathematics
21 Linear Algebra and its Applications
20 AIMS Mathematics
19 Studies in Applied Mathematics
18 Analysis and Applications (Singapore)
18 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
18 Random Matrices: Theory and Applications
17 Discrete Mathematics
17 Numerical Algorithms
16 Mathematics of Computation
16 Filomat
15 Turkish Journal of Mathematics
15 Journal of Function Spaces
14 Abstract and Applied Analysis
13 Journal of Statistical Physics
13 Journal of Functional Analysis
13 Annals of Physics
12 Letters in Mathematical Physics
12 Journal of High Energy Physics
12 Computational Methods and Function Theory
12 International Journal of Number Theory
11 Computers & Mathematics with Applications
11 Indagationes Mathematicae. New Series
10 Theoretical and Mathematical Physics
10 European Journal of Combinatorics
10 Statistics & Probability Letters
10 Applied Numerical Mathematics
10 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Mediterranean Journal of Mathematics
10 Complex Analysis and Operator Theory
9 Duke Mathematical Journal
9 Acta Applicandae Mathematicae
9 Mathematical Inequalities & Applications
9 Analysis and Mathematical Physics
8 Reports on Mathematical Physics
8 Expositiones Mathematicae
8 Positivity
8 Journal of Mathematical Inequalities
8 Afrika Matematika
8 Journal of Classical Analysis
7 Mathematical Methods in the Applied Sciences
7 Ukrainian Mathematical Journal
7 International Journal of Mathematics and Mathematical Sciences
7 Asian-European Journal of Mathematics
6 Analysis Mathematica
6 Applicable Analysis
6 Physics Letters. A
6 The Annals of Probability
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6 Journal of Symbolic Computation
6 Applied Mathematics Letters
6 Aequationes Mathematicae
6 Bulletin des Sciences Mathématiques
6 Advances in Computational Mathematics
6 Arab Journal of Mathematical Sciences
6 Annals of Combinatorics
6 Journal of Nonlinear Mathematical Physics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Statistical Mechanics: Theory and Experiment
5 Bulletin of the Australian Mathematical Society
5 Journal d’Analyse Mathématique
5 Nuclear Physics. B
5 Periodica Mathematica Hungarica
5 Czechoslovak Mathematical Journal
5 Mathematische Nachrichten
5 Monatshefte für Mathematik
5 Physica D
5 Probability Theory and Related Fields
5 Stochastic Processes and their Applications
5 Journal of Mathematical Sciences (New York)
5 Computational and Applied Mathematics
5 Séminaire Lotharingien de Combinatoire
5 Science China. Mathematics
4 Modern Physics Letters A
4 Mathematical Notes
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4 Demonstratio Mathematica
4 Integral Equations and Operator Theory
4 Journal of Differential Equations
...and 296 more Serials
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Cited in 58 Fields

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250 Number theory (11-XX)
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241 Approximations and expansions (41-XX)
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178 Quantum theory (81-XX)
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98 Numerical analysis (65-XX)
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