On the Radius Constants for Classes of Analytic Functions
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1
Radius constants for several classes of analytic functions on the unit disk are obtained. These include the radius of starlikeness of a positive order, radius of parabolic starlikeness, radius of Bernoulli lemniscate starlikeness, and radius of uniform convexity. In the main, the radius constants obtained are sharp. Conjectures on the non-sharp radius constants are given.
Classification :
30C45, 30C80
@article{BMMS_2013_36_1_a2,
author = {Rosihan M. Ali and Naveen Kumar Jain and V. Ravichandran},
title = {On the {Radius} {Constants} for {Classes} of {Analytic} {Functions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a2/}
}
Rosihan M. Ali; Naveen Kumar Jain; V. Ravichandran. On the Radius Constants for Classes of Analytic Functions. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a2/