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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Slater determinants of orthogonal polynomials

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Author(s):
Dimitrov, Dimitar K. [1] ; Xu, Yuan [2]
Total Authors: 2
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
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