Univalence properties for a general integral operator

Daniel Breaz

doi:10.4134/BKMS.2009.46.3.439

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Bull. Korean Math. Soc. 2009; 46(3): 439-446

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.439

Univalence properties for a general integral operator

Daniel Breaz

``1 Decembrie 1918" University

Abstract

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Abstract

We consider the univalence function classes $\mathcal{T}$, $\mathcal{T}_{2}$, $\mathcal{T}_{2,\mu}$, and $\mathcal{S}(p)$. For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.

Keywords: analytic functions, integral operator, univalent function

MSC numbers: 30C45