On a condition for α-starlikeness

A Sufficient Condition for Starlikeness of Order Α

We obtain a sufficient condition for starlikeness of orderα, |f ′(z)−λ(f(z)/z)+ λ−1|<M =Mn(λ,α), where λ∈ [0,1], α∈ [0,1) and the function f(z)= z+an+1zn+1+ ··· is analytic in the unit disc U . 2000 Mathematics Subject Classification. 30C45.

Some Sufficient Conditions for Starlikeness and Convexity of Order α

On Certain Sufficient Conditions for Starlikeness

We consider certain properties of f(z)f ′′(z)/f ′2(z) as a sufficient condition for starlikeness.

On the Sharp Constant for Starlikeness

We obtain a sharp constant of the sufficient condition for p-valently starlikeness, which had been studied by Nunokawa (1991), Obradovíc and Owa (1989), and Li (1993). 2000 Mathematics Subject Classification. Primary 30C45.

On the Strongly Starlikeness of Multivalently Convex Functions of Order Α

The object of the present paper is to derive some sufficient conditions for strongly starlikeness of multivalently convex functions of order α in the open unit disc. 2000 Mathematics Subject Classification. 30C45.