"Bilinear Transformation" as a combination of the transformation, rotation, stretching & Inversion.

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Lec#46|Bilinear Transformation as a combination of translation, rotation, magnification & inversionLec#46|Bilinear Transformation as a combination of translation, rotation, magnification & inversion
Bilinear(Mobius) Transformation related theorem : Conformal Mapping lecture-8Bilinear(Mobius) Transformation related theorem : Conformal Mapping lecture-8
Complex analysis- Transformation|PG TRB maths|TRB PolytecnicComplex analysis- Transformation|PG TRB maths|TRB Polytecnic
Combined Elementary transformation : Rotation & Magnification 𝑀 = π‘Ÿ(𝑒ⁱᢿ𝑧),Example: 𝑀 = √2.𝑒ⁱ⁽ β·«αŸβ΄βΎπ‘§Combined Elementary transformation : Rotation & Magnification 𝑀 = π‘Ÿ(𝑒ⁱᢿ𝑧),Example: 𝑀 = √2.𝑒ⁱ⁽ β·«αŸβ΄βΎπ‘§
Nature of a Bilinear Transformation | Hyperbolic, Elliptical, Loxodromic, Parabolic |Nature of a Bilinear Transformation | Hyperbolic, Elliptical, Loxodromic, Parabolic |
Elementary Transformation (iv) Inversion 𝑀 = 1/𝑧Elementary Transformation (iv) Inversion 𝑀 = 1/𝑧
Every Bilinear Transform with one fixed point 𝑝 can be put in 1/(𝑀-𝑝)=π‘˜+{1/(𝑧-𝑝)} where π‘˜=π‘Ž/(π‘Ž-𝑐𝑝).Every Bilinear Transform with one fixed point 𝑝 can be put in 1/(𝑀-𝑝)=π‘˜+{1/(𝑧-𝑝)} where π‘˜=π‘Ž/(π‘Ž-𝑐𝑝).
Bilinear TransformationBilinear Transformation