Certain Properties
of Parabolic Starlike and Convex Functions of Order
Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 2
We investigate stralike and convex functions with the property that and lie inside a certain parabola. We give some particular examples of functions having the required properties and it is shown that these functions are invariant under particular integral operators. We also determine the radii of uniformally convexity and starlikeness for certian functions. Such type of work was carried out by [1] and we are motivated by this work.
@article{BMMS_2003_26_2_a0,
author = {R. Aghalary and S.R. Kulkarni},
title = {Certain {Properties
} of {Parabolic} {Starlike} and {Convex} {Functions} of {Order}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2003},
volume = {26},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2003_26_2_a0/}
}
R. Aghalary; S.R. Kulkarni. Certain Properties
of Parabolic Starlike and Convex Functions of Order. Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2003_26_2_a0/