Some Inclusion Relationships of Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator
الكلمات المفتاحية:
Analytic functions، Univalent functions، Starlike functions، Convex functions، Subordination، Uniformly functions، Integral operatorالملخص
The authors introduce several new subclasses of analytic functions. In this paper, we recall some notations and standard definitions of analytic functions in the open unit disc. We state the definition of the Hadamard product (or convolution).We introduce and study some new subclasses of analytic functions, starlike function, convex function, close-to-convex function and quasi-convex function. We introduce and investigate some new subclasses of uniformly starlike. uniformly convex univalent functions. Also, in this paper we state the definition of Komatu integral operator and discuss the use of integral operator. After that, we explain what a new subclass of uniformly convex functions and new subclass of uniformly starlike functions are. Finally, we state the definitions and lemmas concerning the subordinations we need in our discussion. In this paper, we establish Inclusion Relationships for uniformly certain classes of analytic functions, associated with the aforementioned integral operator.
المراجع
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