Authors
Citation
Am. Sedletskii, A NECESSARY CONDITION FOR ALL THE ZEROS OF AN ENTIRE FUNCTION OF EXPONENTIAL-TYPE TO LIE IN A CURVILINEAR HALF-PLANE, Sbornik. Mathematics, 186(9-10), 1995, pp. 1353-1362
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
10645616
Volume
186
Issue
9-10
Year of publication
1995
Pages
1353 - 1362
Database
ISI
SICI code
1064-5616(1995)186:9-10<1353:ANCFAT>2.0.ZU;2-T
Abstract
Under the assumption that the integral integral(R)log\F(x)\/1+x(2)dx e
xists, a condition necessary for all the zeros of the entire function
F(z) of exponential type to lie in the curvilinear half-plane Im z les
s than or equal to (greater than or equal to) h(\Rez\) (where h(t) is
a regularly varying function) is obtained.