Radius properties of harmonic mappings with fixed analytic part

نویسندگان

چکیده

We investigate harmonic mappings $$f=h+{\bar{g}}$$ defined in the unit disk, where g and h satisfy certain prescribed conditions analytic part belongs to Ma Minda class of starlike functions. Certain sharp radius results for univalency, close-to-convexity, fully starlikeness, convexity, strongly starlikeness are established. also calculate uniformly convexity these Several enhance well-known results.

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ژورنال

عنوان ژورنال: Monatshefte für Mathematik

سال: 2023

ISSN: ['0026-9255', '1436-5081']

DOI: https://doi.org/10.1007/s00605-023-01872-9