A linear operator and strongly starlike functions

Certain Integral Operator and Strongly Starlike Functions

On Sufficient Conditions for Strongly Starlike Functions Associated with a Linear Operator

By using the method of differential subordinations, we derive some sufficient conditions for strongly starlike functions associated with a linear operator. All these results presented here are sharp.

Applications of Srivastava–attiya Operator to the Classes of Strongly Starlike and Strongly Convex Functions

Srivastava-Attiya operator is used to define some new subclasses of strongly starlike and strongly convex functions of order β and type α in the open unit disk U . For each of these new function classes, several inclusion relationships are established. Some interesting corollaries and applications of the results presented here are also discussed. Mathematics subject classification (2000): 30C45...

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.

Some Criteria for Strongly Starlike Multivalent Functions

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