Artículos de revistas
Slater determinants of orthogonal polynomials
Date
2016-03-15Registration in:
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 435, n. 2, p. 1552-1572, 2016.
0022-247X
10.1016/j.jmaa.2015.11.039
WOS:000367119200033
WOS000367119200033.pdf
Author
Universidade Estadual Paulista (Unesp)
Univ Oregon
Institutions
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.