Starlikeness of sections of univalent functions

Thumbnail
2014
Authors
Obradović, Milutin
Ponnusamy, Saminathan
Article (Published version)
Metadata
Show full item record
Abstract
Let S be the class of all normalized analytic and univalent functions in the unit disk D. In this paper, we determine condition so that each section sn(f, z) of f ∈ S is starlike in the disk |z| < rn. In particular, sn(f, z) is starlike in |z| ≤ 1/2 for n ≥ 47.
Keywords:
Coefficient inequality / analytic / Hadamard convolution / univalent and starlike functions
Source:
Rocky Mountain Journal of Mathematics, 2014, 44, 3, 1003-1014
Publisher:
  • Rocky Mountain Mathematics Consortium
Funding / projects:

ISSN: 0035-7596

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_3406
URI
https://grafar.grf.bg.ac.rs/handle/123456789/3406
Collections
Institution/Community
GraFar