Integral operators of certain univalent functions

O. P. Ahuja

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-10

Abstract:

A function f , analytic in the unit disc Δ , is said to be in the family R n ( α ) if Re { ( z n f ( z ) ) ( n + 1 ) / ( z n − 1 f ( z ) ) ( n ) } > ( n + α ) / ( n + 1 ) for some α ( 0 ≤ α < 1 ) and for all z in Δ , where n ϵ N o , N o = { 0 , 1 , 2 , … } . The The class R n ( α ) contains the starlike functions of order α for n ≥ 0 and the convex functions of order α for n ≥ 1 . We study a class of integral operators defined on R n ( α ) . Finally an argument theorem is proved.

Date: 1985
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/8/436794.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/8/436794.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:436794

DOI: 10.1155/S0161171285000710

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 ().