Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials
- Durán, A.J. 1
- Pérez, M. 2
- Varona, J.L. 3
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1
Universidad de Sevilla
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2
Universidad de Zaragoza
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3
Universidad de La Rioja
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ISSN: 1058-6458
Year of publication: 2015
Volume: 24
Issue: 1
Pages: 123-132
Type: Article
More publications in: Experimental mathematics
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Abstract
In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of nonnegative integers. The case in which such a set is formed by consecutive integers was studied by Karlin and Szegö