Published 1966
| Version public
Journal Article
Open
On the Coefficients and the Growth of Gap Power Series
Creators
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
GAIjsiamna66.pdf
Files
(1.2 MB)
| Name | Size | Download all |
|---|---|---|
|
md5:0b2ad3ffde126cd9b59c4742a3d25606
|
1.2 MB | Preview Download |
Additional details
Identifiers
- Eprint ID
- 10283
- Resolver ID
- CaltechAUTHORS:GAIsiamjna66
Dates
- Created
-
2008-04-22Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field