@article{3672e070075e47eab2e9bc4e5b89b648,
title = "ON CONVEX COMBINATIONS of CONVEX HARMONIC MAPPINGS",
abstract = "The family Fλ of orientation-preserving harmonic functions f = h+g in the unit disc (normalised in the standard way) satisfying {equation presented} for some {equation presented} , along with their rotations, play an important role among those functions that are harmonic and orientation-preserving and map the unit disc onto a convex domain. The main theorem in this paper generalises results in recent literature by showing that convex combinations of functions in Fλ are convex.",
keywords = "convex combinations, convex harmonic mappings",
author = "{\'A}lvaro Ferrada-Salas and Rodrigo Hern{\'a}ndez and Mart{\'i}n, {Mar{\'i}a J.}",
note = "Funding Information: The second and third authors are supported by Fondecyt, Chile, grant 1150284. The third author is also partially supported by grant MTM2015-65792-P from MINECO/FEDER, the Thematic Research Network MTM2015-69323-REDT, MINECO, Spain, and the Academy of Finland, grant 268009. Publisher Copyright: {\textcopyright} 2017 Australian Mathematical Publishing Association Inc.",
year = "2017",
month = oct,
day = "1",
doi = "10.1017/S0004972717000685",
language = "English",
volume = "96",
pages = "256--262",
journal = "Bulletin of the Australian Mathematical Society",
issn = "0004-9727",
publisher = "Cambridge University Press",
number = "2",
}