Two-Point Distortion Theorems for Harmonic Mappings

نویسندگان

چکیده

We establish two-point distortion theorems for sense-preserving planar harmonic mappings $$f=h+\overline{g}$$ in the unit disk $${\mathbb D}$$ which satisfy versions of univalence criteria due to Becker and Nehari. In addition, we also find cases when h is a normalized convex function and, more generally, $$h({\mathbb D})$$ c-linearly connected domain.

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ژورنال

عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society

سال: 2023

ISSN: ['2180-4206', '0126-6705']

DOI: https://doi.org/10.1007/s40840-023-01494-2