Strongly gamma-starlike functions of order alpha

Generalizations of Strongly Starlike Functions

By using functions of bounded variation we generalize the class of strongly starlike functions and related classes. The main object is to obtain characterizations and inclusion properties of these classes of functions.

On Certain Classes of Strongly Starlike Functions

In this paper we study functions which are strongly starlike, with the method of differential inequalities. We also give a generalization of the results obtained by the authors Milutin Obradovic and Santosh B. Joshi (1998) with new class of functions defined by q order ordinary differential operator.

Some Criteria for Strongly Starlike Multivalent Functions

By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.

Certain Integral Operator and Strongly Starlike Functions

Mapping Properties of Hypergeometric Functions and Convolutions of Starlike or Convex Functions of Order alpha

We determine the order of convexity of hypergeometric functions z 7→ F (a, b, c, z) as well as the order of starlikeness of shifted hypergeometric functions z 7→ zF (a, b, c, z), for certain ranges of the real parameters a, b and c. As a consequence we obtain the sharp lower bound for the order of convexity of the convolution (f ∗ g)(z) := ∑∞ n=0 anbnz n when f(z) = ∑∞ n=0 anz n is convex of or...