An application of a subordination chain

Sukhjit Singh and Sushma Gupta

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-4

Abstract:

Let K denote the class of functions g ( z ) = z + a 2 z 2 + ⋯ which are regular and univalently convex in the unit disc E . In the present note, we prove that if f is regular in E , f ( 0 ) = 0 , then for g ∈ K , f ( z ) + α z f ′ ( z ) ≺ g ( z ) + α z g ′ ( z ) in E implies that f ( z ) ≺ g ( z ) in E , where α > 0 is a real number and the symbol ≺ stands for subordination.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/109147.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/109147.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:109147

DOI: 10.1155/S0161171203204087

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 ().