Proceedings of the 2015 International Conference on Electrical, Computer Engineering and Electronics

Mapping Radius of Regular Function and Center of Convex Region

Authors
Wenxi Duan
Corresponding Author
Wenxi Duan
Available Online June 2015.
DOI
https://doi.org/10.2991/icecee-15.2015.10How to use a DOI?
Keywords
regular function; mapping radius; conformal transformation; center of convex region
Abstract
There is only a univalent and regular function in a simply connected region. It transforms the region into a unit circle, while satisfies that the function value of a point is equal to zero and the derivative of this point is greater than zero, then the inverse of the derivative is named as the mapping radius of the function at the point. The mapping radius is changing according to the movement of the point. In fact, the mapping radius in the region is a real valued function. The function is continuous and reaches the maximum value within the region. If a simply connected region is the convex region with the symmetrical center, then the mapping radius function of the region obtains the maximum at the symmetrical center of the region.
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Proceedings
2015 2nd International Conference on Electrical, Computer Engineering and Electronics
Part of series
Advances in Computer Science Research
Publication Date
June 2015
ISBN
978-94-62520-81-3
ISSN
2352-538X
DOI
https://doi.org/10.2991/icecee-15.2015.10How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Wenxi Duan
PY  - 2015/06
DA  - 2015/06
TI  - Mapping Radius of Regular Function and Center of Convex Region
BT  - 2015 2nd International Conference on Electrical, Computer Engineering and Electronics
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icecee-15.2015.10
DO  - https://doi.org/10.2991/icecee-15.2015.10
ID  - Duan2015/06
ER  -