Certain Subclasses of Analytic Functions with Complex Order (original) (raw)

Certain subclasses of analytic functions involving complex order

Filomat, 2008

In the present investigation, we consider an unified class of functions of complex order. Necessary and sufficient condition for functions to be in this class is obtained. The results obtained in this paper generalizes the results obtained by Srivastava and Lashin [10], and Ravichandran et al. [4]. .

Some Properties of Certain Class of Analytic Functions

International Journal of Mathematics and Mathematical Sciences, 2014

We obtain some properties related to the coefficient bounds for certain subclass of analytic functions. We also work on the differential subordination for a certain class of functions.

On Certain Subclass of Analytic Functions

Armenian Journal of Mathematics

In the present investigation, a new general subclass Malpha,betaleft(phiright)M_{\alpha ,\beta }\left( \phi \right) Malpha,betaleft(phiright) of analytic functions is defined. Some subordination relations, inclusion relations, integral preserving properties, convolution properties and some other interesting properties are studied.

Inclusion Properties with Applications for Certain Subclasses of Analytic Functions

Applied Mathematics & Information Sciences, 2015

Using convolution and subordination concepts, we define some new subclasses of analytic functions and study their properties including inclusion relations and radius problems. Several applications related to conic domains and certain integral operators are also given. Results obtained in this paper may motivate further research in this dynamic and fascinating field.

Some inclusion properties of certain class of analytic functions

We use a property of the Bernardi operator in the theory of the Briot-Bouquet differential subordinations to prove several theorems for some classes of analytic functions defined by using the Dziok-Srivastava operator. Some of these results we obtain applying the convolution property due to Rusheweyh. We take advantage of the Miller-Mocanu differential subordinations.

ON NEIGHBORHOODS OF ANALYTIC FUNCTIONS HAVING POSITIVE REAL PART

Two subclasses P α−m n and P α−m n of certain analytic functions having positive real part in the open unit disk U are introduced. In the present paper, several properties of the subclass P α−m n of analytic functions with real part greater than α−m n are derived. For p(z) ∈ P α−m n