On power series whose tails have multiply positive coefficients
Date
2003
Authors
Zheltukhina, N.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Mathematical Physics, Analysis, Geometry
Print ISSN
1812-9471
Electronic ISSN
1817-5805
Publisher
Natsional'na Akademiya Nauk Ukrainy
Volume
10
Issue
2
Pages
156 - 166
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
Entire functions whose tails have 4-times positive coefficients are studied. The growth estimate for such functions is given. It is shown that the same growth estimate holds for entire functions of order < 1 whose tails do not have zeros in the angle {z : | arg z| ≤ 4p / 5g}.