Reciprocal classes of <it>p</it>-valently spirallike and <it>p</it>-valently Robertson functions

Abstract

Abstract For p-valently spirallike and p-valently Robertson functions in the open unit disk U , reciprocal classes S p ( α , β ) , and C p ( α , β ) are introduced. The object of the present paper is to discuss some interesting properties for functions f(z) belonging to the classes Sp(α,β) and Cp(α,β) . 2010 Mathematics Subject Classification Primary 30C45

Keywords

• Reciprocal class
• Subordination
• Schwarz function
• Robertson function
• Miller and Mocanu lemma