Abdul Halim, S. (1991) Functions starlike with respect to other points. International Journal of Mathematics and Mathematical Sciences, 14 (3). pp. 451-456. ISSN 0161-1712, DOI https://doi.org/10.1155/S0161171291000613.
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Abstract
In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p≤β<1, let SS*(β) be the class of normalised analytic functions f defined in the open unit disc D such that Rezf′(z)/(f(z)−f(−z))>β, for some z ϵ D. In this paper, we introduce 2 other similar classes SC*(β), SSC*(β) as well as give sharp results for the real part of some function for f ϵ SS*(β), SC*(β) and SSC*(β) The behaviour of certain integral operators are also considered.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Starlike functions of order B; Functions starlike with respect to symmetrical points; Close-to-convex; Integral operators |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 07 Jul 2017 02:50 |
| Last Modified: | 07 Jul 2017 03:28 |
| URI: | http://eprints.um.edu.my/id/eprint/17454 |
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