Ravichandran, V. Criteria for univalence of certain integral operators. (English) Zbl 1212.30067 Acta Univ. Apulensis, Math. Inform. 17, 141-149 (2009). Summary: We determine conditions on \(\beta\), \(\alpha _i\) and \(f_i(z)\) so that the integral operator \({ \{\beta \int_0^z \zeta ^{\beta -1} \prod_{i=1}^n {(f_i(\zeta )/\zeta)}^{1/\alpha _i} d\zeta }\}^{1/\beta}\) is univalent in the open unit disk. We also obtain similar results for the integral operator \({\{\beta \int_0^z \zeta ^{\beta -1} {\text{exp}}(\sum_{i=1}^n \alpha _i f_i(\zeta)) d\zeta \}}^{\frac 1\beta}\). MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:Schwarz’s lemma; univalence criteria PDFBibTeX XMLCite \textit{V. Ravichandran}, Acta Univ. Apulensis, Math. Inform. 17, 141--149 (2009; Zbl 1212.30067) Full Text: EuDML