Access the full text.
Sign up today, get DeepDyve free for 14 days.
D. Brannan, W. Kirwan (1969)
On Some Classes of Bounded Univalent FunctionsJournal of The London Mathematical Society-second Series
Th. Betker (1992)
Löwner chains and quasiconformal extensionsComplex Variables and Elliptic Equations, 20
T. Sugawa (2005)
A self-duality of strong starlikenessKodai Mathematical Journal, 28
(1991)
An internal geometric characterization of strongly starlike functions, Ann
M. Fait, J. Krzyż, Jadwiga Zygmunt (1976)
Explicit quasiconformal extensions for some classes of univalent functionsCommentarii Mathematici Helvetici, 51
Yong Kim, T. Sugawa (2011)
On power deformations of univalent functionsMonatshefte für Mathematik, 167
Yong Kim, T. Sugawa (2010)
Correspondence between spirallike functions and starlike functionsMathematische Nachrichten, 285
Ch Pommerenke (1975)
Univalent Functions
(1991)
An internal geometric characterization of strongly starlike functions, Ann. Univ. Mariae Curie-Sk lodowska
P. Duren (1970)
Theory of H[p] spaces
We show that a strongly λ-spirallike function of order α can be extended to a sin(πα/2)-quasiconformal automorphism of the complex plane for -π/2 < λ < π/2 and 0 < α < 1 with ¦λ¦ < πα/2. Towards the proof we provide several geometric characterizations of a strongly λ-spirallike domain of order α. We also give a concrete form of the mapping function of the standard strongly λ-spirallike domain $U_{\lambda,\alpha}$ of order α. A key tool of the present study is the notion of λ-argument, which was developed by Y. C. Kim and the author [5].
Computational Methods and Function Theory – Springer Journals
Published: Aug 24, 2011
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.