On Bazilevic functions

Khalida I. Noor and Sumayya A. Al-Bany

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-10

Abstract:

Let B ( β ) be the class of Bazilevic functions of type β ( β > 0 ) . A function f ϵ B ( β ) if it is analytic in the unit disc E and Re z f ′ ( z ) f 1 − β ( z ) g β ( z ) > 0 , where g is a starlike function. We generalize the class B ( β ) by taking g to be a function of radius rotation at most k π ( k ≥ 2 ) . Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. For k = 2 , we obtain some of these results for the class B ( β ) of Bazilevic functions of type β .

Date: 1987
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/10/134540.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/10/134540.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:134540

DOI: 10.1155/S0161171287000103

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 ().