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Original Articles

Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials

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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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