Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators

摘要

Making use of a certain fractional calculus operator, we introduce two new subclasses and of analytic and valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.