Volume 26 • Number 2 • 2003
 

• Certain Properties of Parabolic Starlike and Convex Functions of Order
R. Aghalary and S.R. Kulkarni
Abstract. 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.

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