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Barth, K. F. and Rippon, Philip
(2006).
DOI: https://doi.org/10.1112/S0024609306018698
Abstract
A classical theorem of Valiron states that a function which is holomorphic in the unit disk, unbounded, and bounded on a spiral that accumulates at all points of the unit circle, has asymptotic value infinity. This property, and various other properties of such functions, are shown to hold for more general classes of functions which are bounded on a subset of the disk that has a suitably large set of nontangential limit points on the unit circle.
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- Item ORO ID
- 15977
- Item Type
- Journal Item
- ISSN
- 0024-6093
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
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