Question: This is complex variable. I am returning student, so in detailed explanation please. Thank you. Problem 5. Prove the following: (a) If f has a

This is complex variable. I am returning student, so in detailed explanation please. Thank you.

Problem 5. Prove the following: (a) If f has a zero of order k, then 1/ f has a pole of order k at z,,. (b) If f has a pole of order k. then 1/f has a removable singularity at z5. Moreover, if we define h(zy) = 0, then & has a zero of order k at z

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