On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives

Abstract

This paper examines two subclasses of multivalent analytic functions defined with higher-order derivatives. These classes of functions are generalizations of several known subclasses that have been studied in separate works. Moreover, we find several interesting results for functions in these classes, including subordination results, containment relations, and integral preserving properties.

Keywords

• higher-order derivatives
• multivalent functions
• α-convex functions
• α-close to convex
• n-symmetrical points