Fekete-Szegö coefficient functional for transforms ‎of universally prestarlike functions

Author(s):

TÝ. ÝnÝ. Ý Shanmugam_JÝ. Ýlourthu Mary

Abstract:
‎Universally prestarlike functions of order $alphaleq 1$ in the‎ ‎slit domain $Lambda=mathbb{C}setminus [1,infty)$ have been‎ ‎recently introduced by S‎. ‎Ruscheweyh.This notion generalizes the‎ ‎corresponding one for functions in the unit disk $Delta$ (and‎ ‎other circular domains in $mathbb{C}$)‎. ‎In this paper‎, ‎we obtain‎ ‎the Fekete-Szegö coefficient functional for transforms of such‎ ‎functions‎.
Keywords:

restarlike functionsý , ýuniversallyý ýprestarlike functionsý , ýFekete , Szeg{o}ý ýfinctionalý

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:40 Issue: 6, 2014
Pages:
1403 to 1411
https://www.magiran.com/p1343425