Sufficient conditions for univalence and starlikeness

Document Type: Research Paper


1 University of Gunma‎, ‎Hoshikuki-cho 798-8‎, ‎Chuou-Ward‎, ‎Chiba 260-0808‎, ‎Japan.

2 Department of Mathematics‎, ‎Rzeszow University of Technology‎, ‎Al‎. ‎Powstancow Warszawy 12‎, ‎35-959 Rzeszow‎, ‎Poland.

3 Department of Applied Mathematics‎, ‎College of Natural Sciences‎, ‎Pukyong National University‎, ‎Busan 608-737‎, ‎Korea.


It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|<1$ is a sufficient condition for $f$, $f(0)=f'(0)-1$ to be starlike in $|z|<1$. The purpose of this
work is to present some new sufficient conditions for univalence and starlikeness.


Main Subjects

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