Some univalence criteria for a family of integral operators. (English) Zbl 1389.30075
Summary: The main objective of this paper is to obtain sufficient conditions for a family of integral operators to be univalent in the open unit disk \(\mathcal U\), using new results on univalence of analytic functions. These integral operators were considered in a recent work, see L. Stanciu [Abstr. Appl. Anal. 2012, Article ID 924645, 9 p. (2012; Zbl 1267.30054)].
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
