dc.date.accessioned2021-08-23T22:59:10Z
dc.date.accessioned2022-10-19T00:31:51Z
dc.date.available2021-08-23T22:59:10Z
dc.date.available2022-10-19T00:31:51Z
dc.date.created2021-08-23T22:59:10Z
dc.date.issued2017
dc.identifierhttp://hdl.handle.net/10533/252534
dc.identifier1150284
dc.identifierWOS:000411403100010
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4483797
dc.description.abstractThe family F-lambda of orientation-preserving harmonic functions f = h + (g) over bar in the unit disc D (normalised in the standard way) satisfying h' (z) + g' (z) = 1/(1 + lambda z)(1 + (lambda) over barz), z is an element of D, for some lambda is an element of partial derivative D, 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 F-lambda are convex.
dc.languageeng
dc.relationhttps://doi.org/10.1017/S0004972717000685
dc.relationhandle/10533/111557
dc.relation10.1017/S0004972717000685
dc.relationhandle/10533/111541
dc.relationhandle/10533/108045
dc.rightsinfo:eu-repo/semantics/article
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.titleON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS
dc.typeArticulo


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