The Fixed Points of Mobius Transformation |
Author(s): |
| B Amarnathreddy , CSSSR&SRRM DEGREE AND PG COLLEGE,KAMALAPURAM,KADAPA,A.P.; T. Pravallika, CSSSR&SRRM DEGREE AND PG COLLEGE,KAMALAPURAM,KADAPA,A.P.; P. Pavani, CSSSR&SRRM DEGREE AND PG COLLEGE,KAMALAPURAM,KADAPA,A.P.; U Lakshmi Priya, CSSSR&SRRM DEGREE AND PG COLLEGE,KAMALAPURAM,KADAPA,A.P. |
Keywords: |
| Mobius Transformation, Fixed Points, Cross Ratio, Inverse Transformation, Translation, Dilation, Inversion, Normal Form |
Abstract |
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In complex analysis, a Mobius transformation of complex plane is a rational function of one complex variable z. Geometrically, a Mobius transformation can be obtained by performing stereographic projection from plane to unit two-sphere, rotating and moving the sphere to a new location and orientation in space and performing stereographic projection to the plane. These transformations preserves angles, maps every straight line to a line or circle, map every circle to a line or circle. |
Other Details |
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Paper ID: IJSRDV6I50478 Published in: Volume : 6, Issue : 5 Publication Date: 01/08/2018 Page(s): 945-947 |
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