مشخصات پژوهش

عنوان	Geometric Distribution Series Connected with Certain Subclasses of Univalent Functions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Analytic functions, Convolution product, Subordinate, Geometric distribution series
چکیده	In this paper, we consider the class of normalized analytic functions of the form $f(z)=z+\sum_{n=2}^\infty a_nz^n$. Following this functions, we define the functions whose coefficients are probabilities of the geometric distribution series and other special modes of this series. Also, we consider different special classes of $f(z)$. In the following we consider some lemmas that make connection between defined special classes with the function $f(z)$. Follower of this topic we will consider the theorems that make connection between defined classes with the functions whose coefficients are probabilities of geometric distribution series. Also we define Alexander-type integral operator and find the necessary and sufficient conditions for being this operator to defined general classes.
پژوهشگران	محمدرضا عظیمی (نفر سوم)، شهرام نجف زاده (نفر دوم)، معصومه طالیان (نفر اول)