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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
Abstract
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.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2002
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