Seenivasagan, Narayanasamy; Breaz, Daniel Certain sufficient conditions for univalence. (English) Zbl 1199.30161 Gen. Math. 15, No. 4, 7-15 (2007). Summary: We determine conditions on \(\beta \), \(\alpha _i\) and \(f_i(z)\) so that the integral operator \(\left\{ {\beta \int_0^z t^{\beta -1} \prod_{i=1}^n (\frac{f_i(t)}t)^{\frac1{\alpha _i}}dt}\right\} ^\frac1{\beta}\) is univalent in the open unit disk for the two subclasses analytic functions. Cited in 5 Documents MSC: 30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:integral operator; univalent functions; Schwarz’s Lemma PDFBibTeX XMLCite \textit{N. Seenivasagan} and \textit{D. Breaz}, Gen. Math. 15, No. 4, 7--15 (2007; Zbl 1199.30161) Full Text: EuDML