Bull. Korean Math. Soc. 1999; 36(4): 779-797
Printed December 1, 1999
Copyright © The Korean Mathematical Society.
D. H. Kim, Kil H. Kwon, D. W. Lee, and F. Marcellan
KAIST, KAIST, Kyungpook National University, Univ. Carlos III
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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