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Asymptotic expansions of recursion coefficients of orthogonal polynomials with truncated exponential weights

Published online by Cambridge University Press:  22 January 2016

Haewon Joung
Haewon Joung*
Affiliation:
Department of Mathematics, Inha University, 253, Younghyun-dong, Nam-ku, Inchon 402-751, Korea, hwjoung@math.inha.ac.kr
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Abstract

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Let β > 0 and , define and where a2n denotes Mhaskar-Rahmanov-Staff number for Wβ. Let be the leading coefficients of the nth orthonormal polynomial corresponding to Wβ,cn and write . It is shown that if c > 1 and β is a positive even integer then has an asymptotic expansion. Also when 0 < c < 1, asymptotic expansions of recursion coefficients of the truncated Hermite weights are given.

Keywords

42C05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 79 - 89
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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