Published 1966
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Journal Article
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On the Coefficients and the Growth of Gap Power Series
- Creators
- Gaier, Dieter
Abstract
In this paper we are interested in the limiting case, in which not the behavior of f in an angle, but only on a radius, for example z = x > 0, is known. Fabry gaps no longer suffice to get information about the growth of m(r) = [...], since already Pólya pointed out [11, p. 636] that there exist entire functions with Fabry gaps (even [...]), which are bounded for x > 0.
Additional Information
©1966 Society for Industrial and Applied Mathematics. Received by the editors April 2, 1965. Dedicated to Professor J.L. Walsh on the occasion of his seventieth birthday. Mathematisches Institut der Universität, Giessen, Germany, and California Institute of Technology, Pasadena, California. This research was supported in part by the Office of Naval Research.Files
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Additional details
- Eprint ID
- 10283
- Resolver ID
- CaltechAUTHORS:GAIsiamjna66
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2008-04-22Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field