Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings (Q963526)
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scientific article; zbMATH DE number 5695228
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings |
scientific article; zbMATH DE number 5695228 |
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Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings (English)
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20 April 2010
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Summary: We first obtain relations between the local univalency, the convexity, and the linear connectedness of an analytic function and the affine harmonic mapping of it. In addition, the paper deals with the regions of variability of the values of affine harmonic and biharmonic mappings. The regions (their boundaries) are determined explicitly and the proofs rely on the Schwarz lemma and on subordination.
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analytic function
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affine harmonic mapping
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biharmonic mapping
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