Bilinear Transformation Example 176627 | 1468564049etext(ch 9,m 2

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chapter9 conformal mapping and bilinear transformation by dr pulak sahoo assistant professor department of mathematics university of kalyani west bengal india e mail sahoopulak1 gmail com 1 module 2 bilinear ...

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...Chapter conformal mapping and bilinear transformation by dr pulak sahoo assistant professor department of mathematics university kalyani west bengal india e mail sahoopulak gmail com module basic properties another important class elementary mappings was studied augustus ferdinand mo bius these are conveniently expressed as the quotient two linear expres sions is dened follows denition if a b c d complex constants then w f z az cz where ad bc called or transforma tion fractional expression determinant note can also be written azw bz cw since this in both variables deserves to termed remark when represents simply constant thus condition means that function non theorem inverse proof let solving for we obtain from above dw which not zero its it every other than has simple pole at there corresponds only one value just suppose point innity plane mapped into therefore have now set up correspondence tween points extended all nite except so composition again trans formation transformations sub...

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Posted on: 28 Jan 2023 | 2 years ago
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