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Determining radii of meromorphy via orthogonal polynomials on the unit circle

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URI: https://hdl.handle.net/10016/6325
ISSN: 0021-9045
DOI: 10.1016/j.jat.2003.08.002
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determining_lagomasino_jat_2003_ps.pdf (185.5 KB)
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2003-10
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Elsevier
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Abstract
Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue of Hadamard's theorem for determining the radius of m-meromorphy of a function analytic on the unit disk and apply this to the location of poles of the reciprocal of Szegö functions.
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19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.
MR#: MR2016676 (2004k:30087)
Zbl#: Zbl 1051.30033
Keywords
Fourier expansions, Rational approximation, Orthogonal polynomials
Bibliographic citation
Journal of Approximation Theory, 2003, vol. 124, n. 2, p. 263-281
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