Deformations of orthogonal polynomials and integro-differential Painlevé equations
Multiplicative statistics associated to higher-order discrete Bessel point processes
Orthogonal polynomials on the real line and on the unit circle.
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Oregon, Dept Math, Eugene, OR 97403 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 435, n. 2, p. 1552-1572, MAR 15 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 09/13832-9 - Orthogonal polynomials, special functions and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/08328-8 - Harmonic analysis and multivariate orthogonal polynomials |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |