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Convolution properties of subclasses of analytic functions associated with the Dziok-Srivastava operator

Goyal S. P., Bansal S. K., Goswami P., Wang Z.-G.

Journal of Mathematics and Applications

2013

Vol. 36

71--77

The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok-Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sufficient condition and coefficient estimate for them.

Applications of convolution properties

Trojnar-Spelina L.

Demonstratio Mathematica

2013

Vol. 46, nr 3

513--523

K. I. Noor (2007 Appl. Math. Comput. 188, 814–823) has defined the classes Qk(a, b, λ, γ) and Tk(a, b, λ, γ) of analytic functions by means of linear operator connected with incomplete beta function. In this paper, we have extended some of the results and have given other properties concerning these classes.

Sandwich theorems for certain subclasses of analytic functions defined by family of linear operators

Mostafa A. O., Aouf M. K.

Journal of Applied Analysis

2009

Vol. 15, nr 2

269-280

In this paper, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions in the open unit disk. The results, which are presented in this paper, have relevant connections with various previous results.

A class of harminic starlike functions with respect to other points defined by Dziok-Srivastava operator

Murugusundaramoorthy G., Vijaya K., Auof M. K.

Journal of Mathematics and Applications

2008

Vol. 30

113-124

Making use of Dziok-Srivastava operator we introduced a new class of complex-valued harmonie functions which are orientation preserving, univalent and starlike with respect to other points. We investigate the coefficient bounds.distortion inequalities, extreme points and inclusion results for the generalized class of functions.