Notes on Radius Properties of p-Valently Starlike Functions

Abstract

For analytic functions f (z) in the open unit disk U, a class U p (λ) of f (z) satisfying some conditions is introduced. The object of the present paper is to discuss the radius properties of f (z) such that 1

Some Applications of Ordinary Differential Operator to Certain Multivalent Functions

“…In this investigation, by applying the differential operator, defined by (3), to certain analytic functions which are multivalent in U or meromorphic multivalent in D, several criteria, which also include both analytic and geometric properties of univalent functions (see [1,2]), for functions 2 Journal of Mathematics the second section of this paper. One may refer to some results determined by ordinary differential operator in [3,4], some properties of certain linear operators in [5][6][7], and also certain results appertaining to multivalent functions and some of their geometric and analytic properties in [8,9] in the references.…”