On Certain Differential Subordination and its Dominant

On Certain Subclasses of Analytic Functions Defined by Differential Subordination

On a Certain Subordination Result and Its Generalizations

This paper presents a result relating to subordination of analytic function in the unit disk and provides an improved version of a result published recently in [Math. Slovaca 60 (4) (2010), 471-484]. Besides stating and proving here a corrected form of this result, we also consider its generalization. The concluding remarks indicate briefly other possibilities of extensions to some of the resul...

On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination

The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z Ip r, λ f z j 1 / p − j Ip r, λ f z j ≺ a aB A − B β z /a 1 Bz , where Ip r, λ is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting pr...

Applications of differential subordination to certain subclasses of p-valent meromorphic functions involving a certain operator

By making use of the method of differential subordination, we investigate some properties of certain classes of p-valent meromorphic functions, which are defined by means of a certain operator .

Subordination and Super Ordination Results Involving Certain Convolution Operators