Question 3: Computation or proof? (5 marks) Let (?) be holomorphic with a zero of order m > 1 at 20. Show that f'() has

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Question 3 Computation Or Proof 5 Marks Let Be Holomorphic With A Zero Of Order M 1 At 20 Show That F Has 1 (12.74 KiB) Viewed 59 times

Question 3: Computation or proof? (5 marks) Let (?) be holomorphic with a zero of order m > 1 at 20. Show that f'() has a zero of order m - 1 at zo (that also means: no zero if m= 1). Hint: Use that f(x) can be factorized in a specific way if zo is a zero of order m. Do not forget to justify your reasoning.