Transformation of complex numbers

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Reference no: EM13127435

1.) Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w| < 1 and the boundary of the half plane maps to the boundary of the disk (the circle |w| = 1.

2.) Find the image of the semi-infinite strip x > 0, 0 < y < 1, under the transformation w = i/z. Sketch the strip and its image.

Reference no: EM13127435

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