Lower and upper order of harmonic mappings

H. Arbeláez, R. Hernández, W. Sierra

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

1 Cita (Scopus)


In this paper, we define both the upper and lower order of a sense-preserving harmonic mapping in D. We generalize to the harmonic case some known results about holomorphic functions with positive lower order and we show some consequences of a function having finite upper order. In addition, we improve a related result in the case when there is equality in a known distortion theorem for harmonic mappings with finite upper order. Some examples are provided to illustrate the developed theory.

Idioma originalInglés
Número de artículo125837
PublicaciónJournal of Mathematical Analysis and Applications
EstadoPublicada - 15 mar. 2022


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