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Math · Advanced Math
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28 Show that f satisfies the Cauchy-Riemann equal holomorphic at 0 13. Suppose that f is holomorphic in an open set S2. Prove that in any one of the where r following cases: (a) Ref) is constant; (b) Im(f) is constant; 17. Show tha (c) Ifl is constant; one can conclude that f is constant. then of complex numbers.

Question on Complex Analysis. Does Q 13 need the open set to be connected as well. This is from the book of shakarchi and stein of complex analysis. I feel without connectedness the function cannot be shown constant. Please reason out either case.

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