Univalent Harmonic Mappings and Lift to the Minimal Surfaces
- Авторлар: Jiang Y.1, Liu Z.2, Ponnusamy S.3
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Мекемелер:
- School of Mathematics and Econometrics
- College of Science
- Department of Mathematics
- Шығарылым: Том 40, № 9 (2019)
- Беттер: 1295-1312
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205470
- DOI: https://doi.org/10.1134/S1995080219090099
- ID: 205470
Дәйексөз келтіру
Аннотация
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. In several of the cases, we illustrate mappings together with their minimal surfaces pictorially with the help of Mathematica software.
Авторлар туралы
Yue Jiang
School of Mathematics and Econometrics
Хат алмасуға жауапты Автор.
Email: ypjiang731@163.com
ҚХР, Changsha, Hunan, 410082
Zhihong Liu
College of Science
Хат алмасуға жауапты Автор.
Email: liuzhihongmath@163.com
ҚХР, Guilin, Guangxi, 541004
Saminathan Ponnusamy
Department of Mathematics
Хат алмасуға жауапты Автор.
Email: samy@iitm.ac.in
Үндістан, Chennai, 600 036
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