ON THE ZERO SETS OF CERTAIN ENTIRE-FUNCTIONS

Authors
EREMENKO A RUBEL LA
Citation
A. Eremenko et La. Rubel, ON THE ZERO SETS OF CERTAIN ENTIRE-FUNCTIONS, Proceedings of the American Mathematical Society, 124(8), 1996, pp. 2401-2404
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
8
Year of publication
1996
Pages
2401 - 2404
Database
ISI
SICI code
0002-9939(1996)124:8<2401:OTZSOC>2.0.ZU;2-B
Abstract
We consider the class B of entire functions of the form f = Sigma p(j) exp g(j), where p(j) are polynomials and g(j) are entire functions. W e prove that the zero-set of such an f, if infinite, cannot be contain ed in a ray. But for every region containing the positive ray there is an example of f is an element of B with infinite zero-set which is co ntained in this region.