Applications of Certain <i>p</i>-Valently Analytic Functions

Abstract

In this paper, a new operator Dsf, with s a real number, is defined considering functions that belong to the known class of p-valent analytic functions in the open unit disk U. Applying this operator, a new subclass of p-valently analytic functions is introduced and some interesting subordination- and coefficient-related properties of the functions in this class are discussed. It is also shown that for certain values given to the parameters involved in the definition of the class, p-valently starlike and p-valently convex functions of certain orders can be obtained, respectively. Examples are also given as applications of the newly proven results.

Keywords

• <i>p</i>-valently analytic function
• <i>p</i>-valently starlike function
• <i>p</i>-valently convex function
• subordination
• coefficient problem