الفهرس | Only 14 pages are availabe for public view |
Abstract The purpose of this thesis is to define and study properties for certain classes of univalent and multivalent functions defined in the open unit disc and in the punctured unit disc where is the complex plane. These classes are defined by using some linear operators, integral operators, Hadamard product (or convolution) and difference operators. Also, we define classes of uniformly convex and starlike functions. Further, let and respectively, to denote the subclasses of which have real parts bounded in the mean on by bounded boundary rotation at most and bounded argument at most (see [119] and [129]). Also, we obtain subordination, superordination properties, sandwich results for classes associated with the operators and Distortion theorems for Classes of multivalent Non-Bazilevic analytic functions defined by linear operator are also obtained, we obtain also some preserving subordination results for classes of p-valent meromorphic functions associated with different operators. Furthermore, we study some inclusion relations for subclasses associated with a linear operator and we obtain necessary and sufficient conditions of Gaussian hypergeometric functions to be in various subclasses of univalent and uniformly classes. Finally, Fekete-Szegö inequalities for classes of non-Bazilevič functions with complex. |