ON CONVEX AND STARLIKE FUNCTIONS IN A SECTOR

Citation
M. Nunokawa et Dk. Thomas, ON CONVEX AND STARLIKE FUNCTIONS IN A SECTOR, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 60, 1996, pp. 363-368
Citations number
7
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
ISSN journal
02636115
Volume
60
Year of publication
1996
Part
3
Pages
363 - 368
Database
ISI
SICI code
0263-6115(1996)60:<363:OCASFI>2.0.ZU;2-F
Abstract
Let f be analytic in D = {z : \z\ < 1} with f(O) = f'(O) - 1 = 0. For y > 0, the largest alpha(gamma) and beta(gamma) are found such that [G RAPHICS] The results solve the inclusion problem for convex and starli ke functions defined in a sector.