265
Views
1
CrossRef citations to date
0
Altmetric
Articles

Disk of univalence of the ratio of two analytic functions

&
Pages 392-404 | Received 02 Jun 2014, Accepted 17 Jun 2014, Published online: 22 Jul 2014
 

Abstract

Let denote the family of all functions analytic in the unit disk with the normalization . DefineIn this paper, we determine the radius of univalency of , where and are chosen appropriately from , and . The method used is different from the one used earlier and the present results improve the earlier known results.

AMS Subject Classification:

Acknowledgements

The work of the first author was supported by MNZZS Grant, No. ON174017, Serbia. The second author is currently on leave from the Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.