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- Arno B. J. Kuijlaars

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
7,721
193
World Ranking
896
National Ranking
13

2022 - Research.com Mathematics in Belgium Leader Award

2013 - Fellow of the American Mathematical Society

2011 - Royal Netherlands Academy of Arts and Sciences

- Mathematical analysis
- Algebra
- Quantum mechanics

His primary scientific interests are in Orthogonal polynomials, Mathematical analysis, Random matrix, Eigenvalues and eigenvectors and Combinatorics. His work carried out in the field of Orthogonal polynomials brings together such families of science as Krylov subspace and Toeplitz matrix, Algebra. His study in the fields of Measure under the domain of Mathematical analysis overlaps with other disciplines such as Kernel.

The Random matrix study combines topics in areas such as Characteristic polynomial, Pure mathematics, Unitary matrix, Method of steepest descent and Scaling. His Eigenvalues and eigenvectors study combines topics in areas such as Mathematical physics, Finite set, Universality, Potential theory and Hermitian matrix. His Combinatorics research is multidisciplinary, relying on both Upper and lower bounds, Plane, Surface and Riemann zeta function.

- Distributing many points on a sphere (849 citations)
- The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1] (273 citations)
- Large n Limit of Gaussian Random Matrices with External Source, Part I (238 citations)

Arno B. J. Kuijlaars spends much of his time researching Orthogonal polynomials, Mathematical analysis, Pure mathematics, Random matrix and Combinatorics. His biological study deals with issues like Bessel function, which deal with fields such as Bessel process. Arno B. J. Kuijlaars has researched Mathematical analysis in several fields, including Matrix and Brownian motion.

Arno B. J. Kuijlaars combines subjects such as Orthogonality and Complex plane with his study of Pure mathematics. His Random matrix research is included under the broader classification of Eigenvalues and eigenvectors. His Discrete orthogonal polynomials study incorporates themes from Gegenbauer polynomials and Hahn polynomials.

- Orthogonal polynomials (44.71%)
- Mathematical analysis (38.46%)
- Pure mathematics (28.37%)

- Orthogonal polynomials (44.71%)
- Pure mathematics (28.37%)
- Random matrix (27.88%)

His scientific interests lie mostly in Orthogonal polynomials, Pure mathematics, Random matrix, Mathematical analysis and Matrix. His biological study spans a wide range of topics, including Complex plane and Hermite polynomials. In general Pure mathematics study, his work on Laguerre polynomials often relates to the realm of Point process, thereby connecting several areas of interest.

His Random matrix research includes elements of Statistical physics, Hermitian matrix and Combinatorics. His studies deal with areas such as Point and Saddle point as well as Mathematical analysis. His Matrix research is multidisciplinary, incorporating elements of Determinantal point process and Methods of contour integration.

- Singular Value Statistics of Matrix Products with Truncated Unitary Matrices (58 citations)
- Recurrence relations for exceptional Hermite polynomials. (49 citations)
- Zeros of exceptional Hermite polynomials (41 citations)

- Mathematical analysis
- Algebra
- Quantum mechanics

Arno B. J. Kuijlaars mainly focuses on Orthogonal polynomials, Pure mathematics, Wilson polynomials, Polynomial and Eigenvalues and eigenvectors. His Pure mathematics study typically links adjacent topics like Random matrix. His Random matrix study integrates concerns from other disciplines, such as Hermitian matrix and Invariant.

He interconnects Gegenbauer polynomials and Hermite polynomials in the investigation of issues within Wilson polynomials. His work on Normal matrix as part of general Eigenvalues and eigenvectors research is frequently linked to Riemann–Hilbert problem, thereby connecting diverse disciplines of science. He applies his multidisciplinary studies on Riemann–Hilbert problem and Mathematical analysis in his research.

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.

Distributing many points on a sphere

E. B. Saff;A. B. J. Kuijlaars.

The Mathematical Intelligencer **(1997)**

1335 Citations

The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

A. B. J. Kuijlaars;K. T-R McLaughlin;K. T-R McLaughlin;W. Van Assche;M. Vanlessen.

Advances in Mathematics **(2004)**

283 Citations

Large n Limit of Gaussian Random Matrices with External Source, Part I

Pavel Bleher;Arno B. J. Kuijlaars.

Communications in Mathematical Physics **(2004)**

244 Citations

Asymptotics for minimal discrete energy on the sphere

A.B.J. Kuijlaars;A.B.J. Kuijlaars;E.B. Saff.

Transactions of the American Mathematical Society **(1998)**

220 Citations

Random matrices with external source and multiple orthogonal polynomials

P. M. Bleher;A. B. J. Kuijlaars.

International Mathematics Research Notices **(2004)**

187 Citations

Large n Limit of Gaussian Random Matrices with External Source, Part III: Double Scaling Limit

Pavel M. Bleher;Arno B. J. Kuijlaars.

Communications in Mathematical Physics **(2007)**

161 Citations

Superlinear Convergence of Conjugate Gradients

Bernhard Beckermann;Arno B. J. Kuijlaars.

SIAM Journal on Numerical Analysis **(2001)**

152 Citations

The Asymptotic Zero Distribution of Orthogonal Polynomials with Varying Recurrence Coefficients

A.B.J Kuijlaars;W Van Assche.

Journal of Approximation Theory **(1999)**

146 Citations

Riemann-Hilbert Problems for Multiple Orthogonal Polynomials

Walter Van Assche;Jeffrey S. Geronimo;Arno B. J. Kuijlaars.

NATO Science Series II. Mathematics, Physics and Chemistry **(2001)**

146 Citations

Singular values of products of random matrices and polynomial ensembles

Arno B. J. Kuijlaars;Dries Stivigny.

Random Matrices: Theory and Applications **(2014)**

139 Citations

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