On a class of univalent functions

Vikramaditya Singh

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-3

Abstract:

We consider the class of univalent functions f ( z ) = z + a 3 z 3 + a 4 z 4 + ⋯ analytic in the unit disc and satisfying | ( z 2 f ′ ( z ) / f 2 ( z ) ) − 1 | < 1 , and show that such functions are starlike if they satisfy | ( z 2 f ′ ( z ) / f 2 ( z ) ) − 1 | < ( 1 / 2 ) .

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/23/596485.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/23/596485.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:596485

DOI: 10.1155/S0161171200001824

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().