Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a major part in Complex Analysis. The purpose of this dissertation is to employ analytic functions defined by power series in two different directions. The first of these discussed in Part I, mainly contributes to Analytic Inequalities in Real and Complex Analysis, while the second direction discussed in Part II, deals with Analytic and Univalent Function Theory
Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical an...
In this paper, we make use of the new concept of analytic functions introduced in [1] and we derive...
AbstractWe present several integral and exponential inequalities for formal power series and for bot...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
yy11y y1yy1y 3y1 y3313813y3y y3 yy1 yy31y yy 11y81yyyy 033yyyy3 7y1yyy1 73 y3yy1 yy1y yy3yyyy3y1 3 8...
In this paper, some new inequalities for power series via Buzano's result are obtained. Applications...
In the preceding chapter we allowed the dependent variable (y or u) to be complex, but required the ...
The nth partial sum of an analytic function f(z) = z+ k=2 akz k is the polynomial fn(z): = z+ ∑n k=...
In this article we obtain sufficient conditions for the univalence of n-symmetric analytic functions...
This thesis looks at power series, particularly in the areas of: radius of convergence, properties o...
Studies on analytic univalent functions became the focus of intense researchwith theBieberbachconje...
Suppose that f(z)=z+a2z2+……is analytic and satisfies Re{f(z)/z}>1/2 forz<1,then f(z)is univalent and...
In this article we obtain sufficient conditions for the univalence of n-symmetric analytic functions...
We want to remark explicitly that, by using the L-n (x) functions (essentially linked to Lucas polyn...
Multisummability is a method which, for certain formal power series with radius of convergence equal...
Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical an...
In this paper, we make use of the new concept of analytic functions introduced in [1] and we derive...
AbstractWe present several integral and exponential inequalities for formal power series and for bot...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
yy11y y1yy1y 3y1 y3313813y3y y3 yy1 yy31y yy 11y81yyyy 033yyyy3 7y1yyy1 73 y3yy1 yy1y yy3yyyy3y1 3 8...
In this paper, some new inequalities for power series via Buzano's result are obtained. Applications...
In the preceding chapter we allowed the dependent variable (y or u) to be complex, but required the ...
The nth partial sum of an analytic function f(z) = z+ k=2 akz k is the polynomial fn(z): = z+ ∑n k=...
In this article we obtain sufficient conditions for the univalence of n-symmetric analytic functions...
This thesis looks at power series, particularly in the areas of: radius of convergence, properties o...
Studies on analytic univalent functions became the focus of intense researchwith theBieberbachconje...
Suppose that f(z)=z+a2z2+……is analytic and satisfies Re{f(z)/z}>1/2 forz<1,then f(z)is univalent and...
In this article we obtain sufficient conditions for the univalence of n-symmetric analytic functions...
We want to remark explicitly that, by using the L-n (x) functions (essentially linked to Lucas polyn...
Multisummability is a method which, for certain formal power series with radius of convergence equal...
Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical an...
In this paper, we make use of the new concept of analytic functions introduced in [1] and we derive...
AbstractWe present several integral and exponential inequalities for formal power series and for bot...