In this paper, we introduce and investigate a new subclass of the function class Σ of biunivalent functions of the Bazilevic type defined in the open unit disk, which are associated with the Hohlov operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a 2 | and |a 3 | for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. (2010): Primary 30C45; Secondary 30C50. Mathematics subject classification

In this paper, we introduce a new subclasses of univalent functions defined in the open unit disc involving DziokSrivastava Operator . The results on modified Hadamard product ,Holder inequalities and closure properties under integral transforms are discussed.

Abstract. Making use of the Dziok-Srivastava operator, we introduce the class R p,qof complex valued harmonic functions. We investigate the coefficient bounds, distortion inequalities , extreme points and inclusion results for this class.

In this paper, we introduce and investigate a new subclass of bi-prestarlike functions defined in the open unit disk, associated with Chebyshev Polynomials. Furthermore, we find estimates of first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we obtain the Fekete-Szegö inequalities for function in these classes. Several consequences of the results are also pointed out as corollaries.

Abstract. A comprehensive class of starlike univalent functions defined by DziokSrivastava operator is introduced. Necessary and sufficient coefficient bounds are given for functions in this class to be starlike. Further distortion bounds, extreme points and results on partial sums are investigated.