Monotonicity of zeros of Laguerre polynomials
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Elsevier B.V.
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Article
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Abstract
Denote by X(nk)(alpha), k = 1, ..., n, the zeros of the Laguerre polynomial L(n)((alpha))(X). We establish monotonicity with respect to the parameter at of certain functions involving X(nk)(alpha). As a consequence we obtain sharp upper bounds for the largest zero of L(n)((alpha))(X). (C) 2009 Elsevier B.V. All rights reserved.
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Keywords
Zeros, Laguerre polynomial, Monotonicity
Language
English
Citation
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 233, n. 3, p. 699-702, 2009.
