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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 1999; 36(4): 779-797

Printed December 1, 1999

Copyright © The Korean Mathematical Society.

Compatible pairs of orthogonal polynomials

D. H. Kim, Kil H. Kwon, D. W. Lee, and F. Marcellan

KAIST, KAIST, Kyungpook National University, Univ. Carlos III

Abstract

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We find necessary and sufficient conditions for an orthogonal polynomial system to be compatible with another orthogonal polynomial system. As applications, we find new characterizations of semi-classical and classical orthogonal polynomials.

Keywords: orthogonal polynomials, compatibility, semi-classical and classical orthogonal polynomials, inverse problem

MSC numbers: 33C45

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