Characterizations of Classical Orthogonal Polynomials |
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Authors: | K H Kwon J K Lee B H Yoo |
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Institution: | 1. Department of Mathematics, KAIST Taejon, 305-701, Korea
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Abstract: | We give a simple unified proof and an extension of some of the characterization theorems of classical orthogonal polynomials of Jacobi, Bessel, Laguerre, and Hermite. In particular, we prove that the only orthogonal polynomials whose derivatives form a weak orthogonal polynomial set are the classical orthogonal polynomials. |
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