ON CONVEX COMBINATIONS of CONVEX HARMONIC MAPPINGS

Álvaro Ferrada-Salas, Rodrigo Hernández, María J. Martín

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Páginas (desde-hasta)256-262
Número de páginas7
PublicaciónBulletin of the Australian Mathematical Society
Volumen96
N.º2
DOI
EstadoPublicada - 1 oct. 2017

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