Geometric properties of certain linear integral transforms. (English) Zbl 1080.30016

Ponnusamy, S.; Sahoo, P.

Bull. Belg. Math. Soc. - Simon Stevin 12, No. 1, 95-108 (2005).

Subordination is used to define certain subclasses of Bazilevich univalent functions and it is shown that under some conditions, these functions are strongly starlike of order \(\gamma \) in the unit discs. Starlikeness, convexity and an integral operator are investigated. These results are not shown to be sharp.

Reviewer: Khalida Inayat Noor (Islamabad)

MSC:

30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50	Coefficient problems for univalent and multivalent functions of one complex variable

Keywords:

univalent; starlike and convex functions; subordination; integral transform