Show that the transformation w=z+(a^2-b^2)/4z transforms the circle absolute value of z=1/2(a+b)in the z plane in to an ellipse of semi axes a, b in the w plane

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Posted on February 22, 2022

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Show that the transformation w=z+(a^2-b^2)/4z transforms the circle absolute value of z=1/2(a+b)in the z plane in to an ellipse of semi axes a, b in the w plane

 

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