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Sobolev orthogonal polynomials in the complex plane

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URI: https://hdl.handle.net/10016/6332
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(00)00498-2
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sobolev_lagomasino_jcam_2001_ps.pdf (173.35 KB)
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2001-01-15
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Elsevier
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Abstract
Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and their asymptotic-zero distribution is studied. We also find the nth-root asymptotic behavior of the corresponding sequence of Sobolev orthogonal polynomials.
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12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
MR#: MR1808575 (2001j:30006)
Zbl#: Zbl 0973.42015
Keywords
n-th root asymptotics, Zero distribution, Sobolev orthogonal polynomials
Bibliographic citation
Journal of Computational and Applied Mathematics, 2001, vol. 127, n. 1-2, p. 219-230
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