The transformation 11 = :: 2 maps the positive x and y

Chapter 0, Problem 9.31

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The transformation 11 = :: 2 maps the positive x and y axes and the origin in the:: plane onto the /1 axis in the 11.: plane. Consider the harmonic function h(11. t) = Re(e-") ='-'-"cos L'. and observe that its normal derivative h" along the /1 axis is zero. Then illustrate the theorem in Sec. 117 when f

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