Transcription of UNIT - 2 BILINEAR TRANSFORMATION
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UNIT - 2 BILINEAR TRANSFORMATION
BILINEAR TRANSFORMATION UNIT - 2 BILINEAR TRANSFORMATION . LESSON STRUCTURE. Objective Introduction BILINEAR TRANSFORMATION Resultant or Product of two BILINEAR Transformations Cross-ratio Preservation of Cross Ratio Fixed point and normal form of a BILINEAR Transforma- tions Some special cases of BILINEAR Transformations conformal mapping Necessary and Sufficient Condition for a mapping to be conformal The mappings, W z n ,W z 2 and the inverse mapping W z1/ 2. Summary Solved Examples Model Questions References Objective In this unit in addition to BILINEAR Transformations, Cross ratio, normal form of BILINEAR Transformations will be discussed.
2.8 Conformal mapping 2.9 Necessary and Sufficient Condition for a mapping to be Conformal 2.10 The mappings, W z W z n, 2 and the inverse mapping W z 1/2 2.11 Summary 2.12 Solved Examples 2.13 Model Questions 2.14 References
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