On the Univalence of Poly-analytic Functions

Application of the Norm Estimates for Univalence of Analytic Functions

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.

Univalence Criterion for Analytic Functions

In this paper, we obtain a new univalence criterion for analytic functions defined outside of the unit disk. Relevant connections of the results, which are presented in this paper with various known results are also considered. 2000 Mathematics Subject Classification: Primary 30C45.

Research Article Sufficient Univalence Conditions for Analytic Functions

Univalence of Bessel Functions

In particular we shall first determine a radius of univalence for the normalized Bessel functions [7>(z)]1/" for values of v belonging to the region G defined by the inequalities 6{\v} >0, | arg »»| <7r/4. Then we shall determine the radius of univalence of the functions z1_"7,.(z) for values of v belonging to a subset of the closure of G. When v is real and positive we shall determine the exac...

On the univalence of integral operations involving meromorphic functions

The main object of this paper is to give sufficient conditions for integral operators Hα,β,γ and Gλ,μ, which are defined here by means of the meromorphic functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for these integral operators. AMS subject classifications: Primary 30C45; Secondary 30C75