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Apply the Cauchy-Riemann conditions to the complex logarithm, log = = log( +ry), to show that it is holomorphic except at its singularities. Write the

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Apply the Cauchy-Riemann conditions to the complex logarithm, log = = log( +ry), to show that it is holomorphic except at its singularities. Write the u and v you found, in terms of a and y: U(T. V) -1 X X At what value of = is log = not holomorphic because its derivatives are undefined? FinEULer (This question is easy if you have actually checked the Cauchy-Riemann conditions; doing that check is nontrivial though!). Note: . Remember NOT to evaluate square roots numerically If you need v 2. type in using the calc pad (under operations) or by typing 'sart. - Trig functions and their inverses are available in the calcPad under Trig. . Remember that your tutorial has Hints in it, at the end of each chapter, If you're stuck, they are often quite usefull

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