Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator

Abstract

By making use of the principle of subordination between analytic functions and the generalized fractional differintegral operator, we introduce and investigate some new subclasses of p-valently analytic functions in the open unit disk. Such results as inclusion relationships, integral-preserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived.

Keywords

• Analytic functions
• p-Valently functions
• Hadmard product (or convolution)
• Differential subordination
• Superordination
• Fractional differintegral operator