Determining radii of meromorphy via orthogonal polynomials on the unit circle. (Q1421508)
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scientific article; zbMATH DE number 2032848
| Language | Label | Description | Also known as |
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| English | Determining radii of meromorphy via orthogonal polynomials on the unit circle. |
scientific article; zbMATH DE number 2032848 |
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Determining radii of meromorphy via orthogonal polynomials on the unit circle. (English)
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26 January 2004
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The authors prove an analogue of Hadamards' theorem for determining the radius of \(m\)-meromorphy of a function analytic on the unit disk. The result is used to find the location of poles of the reciprocal of the Szegő function.
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Fourier expansions
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rational approximation
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orthogonal polynomials
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