Radius problems for a subclass of close-to-convex univalent functions
Khalida Inayat Noor
International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-8
Abstract:
Let P [ A , B ] , − 1 ≤ B < A ≤ 1 , be the class of functions p such that p ( z ) is subordinate to 1 + A z 1 + B z . A function f , analytic in the unit disk E is said to belong to the class K β * [ A , B ] if, and only if, there exists a function g with z g ′ ( z ) g ( z ) ∈ P [ A , B ] such that Re ( z f ′ ( z ) ) ′ g ′ ( z ) > β , 0 ≤ β < 1 and z ∈ E . The functions in this class are close-to-convex and hence univalent. We study its relationship with some of the other subclasses of univalent functions. Some radius problems are also solved.
Date: 1992
References: Add references at CitEc
Citations:
Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/15/241247.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/15/241247.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:241247
DOI: 10.1155/S0161171292000930
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 ().