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Article overview
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Univalent harmonic mappings and lift to the minimal surfaces | YuePing Jiang
; ZhiHong Liu
; Saminathan Ponnusamy
; | Date: |
2 Aug 2015 | Abstract: | We construct sense-preserving univalent harmonic mappings which map the unit
disk onto a domain which is convex in the horizontal direction, but with
varying dilatation. Also, we obtain minimal surfaces associated with such
harmonic mappings. This solves also a recent problem of Dorff and Muir (Abstr.
Appl. Anal. (2014)). In several of the cases, we illustrate mappings together
with their minimal surfaces pictorially with the help of exttt{Mathematica}
software. | Source: | arXiv, 1508.0199 | Services: | Forum | Review | PDF | Favorites |
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