MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Univalence conditions of general integral operator
B. A. Frasin and D. Breaz

Abstract

In this paper, we obtain new univalence conditions for the integral operator $$ I_{\xi}^{\alpha_{i},\beta_{i}}(f_{1},\dots,f_{n})(z)=\left[\xi\int_{0}^{z}t^{\xi-1}(f_{1}^{\prime}(t))^{\alpha_{1}} (\frac{f_{1}(t)}{t})^{\beta_{1}}\cdots(f_{n}^{\prime}(t))^{\alpha_{n}}(\frac{f_{n}(t)}{t})^{\beta_{n}}\,dt\right]^{\frac{1}{\xi}} $$ of analytic functions defined in the open unit disc.

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Keywords: Analytic function; univalent function; integral operator.

MSC: 30C45

Pages:  394--402     

Volume  65 ,  Issue  3 ,  2013