عنوان مجله
|
Surveys in Mathematics and its Applications
|
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.
|