On a Subordination Result of a Subclass of Analytic Functions

In the present investigation, we obtain some subordination and superordination results involving Hadamard product for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

In this present investigation, we introduce a certain subclass Sq(λ, γ, h) of analytic functions which is specify in terms of a quasi-subordination. Sharp bounds of the Fekete-Szegő coefficient for functions belonging to the class Sq(λ, γ, h) are obtained. The results presented give improved versions for the classes involving the quasi-subordination and majorization.

In this paper, we introduce a class G λ q (φ, b) of analytic functions which is defined in terms of a quasi-subordination. The coefficient estimates including the classical Fekete-Szegö inequality of functions belonging to this class are then derived. We also present certain improved results for the associated classes involving the subordination and majorization. Relevances with known results and extensions of main results involving convolution structures are briefly mentioned.

In the present paper we derive various useful properties and characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.

Armenian Journal of Mathematics

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

Acta Universitatis Apulensis, 2014

By using the subordination theorem for analytic functions we derive interesting subordination results for certain class of analytic functions defined by new linear operator. 2000 Mathematics Subject Classification: 30C45.

2008

In the present paper, the authors study the differential inequality R [

Journal of Inequalities and Applications, 2007

We obtain an interesting subordination relation for Salagean-type certain analytic functions by using subordination theorem.

International Journal of Mathematics and Mathematical Sciences, 2011

We introduce and study certain subclasses of analytic functions which are defined by differential subordination. Coefficient inequalities, some properties of neighborhoods, distortion and covering theorems, radius of starlikeness, and convexity for these subclasses are given.

The Scientific World Journal, 2013

Two new subclasses of analytic functions of complex order are introduced. Apart from establishing coefficient bounds for these classes, we establish inclusion relationships involving (n-δ) neighborhoods of analytic functions with negative coefficients belonging to these subclasses.