Abstract
Applying a result concerning a convergence of modified orthogonal Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue of Hadamard’s theorem for determining the radius of 1-meromorphy of a function holomorphic on the closed unit disk. Furthermore, we apply our result to study analytic properties of the reciprocal of Szego ̋ functions when their corresponding sequence of Verblunsky coefficients has exponential decay.
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Bosuwan N. (2024) "Determining the first radii of meromorphy via orthogonal polynomials on the unit circle
", Dolomites Research Notes on Approximation, 17(1), 12-21. DOI: 10.14658/PUPJ-DRNA-2024-1-2
Year of Publication
2024
Journal
Dolomites Research Notes on Approximation
Volume
17
Issue Number
1
Start Page
12
Last Page
21
Date Published
02/2024
ISSN Number
2035-6803
Serial Article Number
2
DOI
10.14658/PUPJ-DRNA-2024-1-2
Issue
Section
Articles