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On orthogonal polynomials
Authors:EI Jury  SM Ahn
Institution:Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory University of California, Berkeley, California USA;Department of Physiology—Anatomy University of California, Berkeley, California USA
Abstract:A study is made of the orthogonal polynomials on certain curves in the complex plane. Necessary and sufficient conditions for a set of polynomials to be orthogonal on the curves are obtained in terms of symmetric matrices. The relations of the symmetric matrices to Toeplitz matrices and innerwise matrices are shown.
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