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Experimental Mathematics Volume 24, 2015 - Issue 1
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Original Articles

Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials

Antonio J. DuránDepartamento de Análisis Matemático, Universidad de Sevilla, Sevilla, SpainCorrespondence[email protected]
,
Mario PérezDepartamento de Matemáticas and IUMA, Universidad de Zaragoza, Zaragoza, Spain
&
Juan L. VaronaDepartamento de Matemáticas y Computación, Universidad de La Rioja, Logroño, Spain
Pages 123-132 | Published online: 30 Jan 2015
 
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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.

2000 AMS Subject Classification::

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