On Sakaguchi functions

Ding-Gong Yang and Jin-Lin Liu

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

Let S s ( α ) ( 0 ≤ α < 1 / 2 ) be the class of functions f ( z ) = z + ⋯ which are analytic in the unit disk and satisfy there Re { z f ′ ( z ) / ( f ( z ) − f ( − z ) ) } > α . In the present paper, we find the sharp lower bound on Re { ( f ( z ) − f ( − z ) ) / z } and investigate two subclasses S 0 ( α ) and T 0 ( α ) of S s ( α ) . We derive sharp distortion inequalities and some properties of the partial sums for functions in the classes S 0 ( α ) and T 0 ( α ) .

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/864547.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/864547.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:864547

DOI: 10.1155/S0161171203205330

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 ().