A PROOF OF HALLS CONJECTURE ON STARLIKE MAPPINGS

Authors
BALASUBRAMANIAN R KARUNAKARAN V PONNUSAMY S
Citation
R. Balasubramanian et al., A PROOF OF HALLS CONJECTURE ON STARLIKE MAPPINGS, Journal of the London Mathematical Society, 48, 1993, pp. 278-288
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
48
Year of publication
1993
Part
2
Pages
278 - 288
Database
ISI
SICI code
0024-6107(1993)48:<278:APOHCO>2.0.ZU;2-D
Abstract
In this paper we show that &lsqb;GRAPHICS&rsqb; where f lies in the cl ass of starlike functions of order 1/2, that is, which are regular and univalent for \z\ < 1 and such tha that &lsqb;GRAPHICS&rsqb; with ran ge the same finite union of intervals but with the property that one i s determined by its level sets and the other is not.