if-the-function-f-is-analytic-function-inside-z-lt-5-and-f-z-10-z-on-the-circle-z-1-2-find-1-f-2-1-2-f-3-0-

Question Number 135194 by mohammad17 last updated on 11/Mar/21

if the function f is analytic function inside ∣z∣<5 and ∣f(z)∣≤10 ∀z on the circle ∣z−1∣=2 find (1)∣f^( 2) (1)∣ (2)∣f^( 3) (0)∣

$${if}\:{the}\:{function}\:{f}\:{is}\:{analytic}\:{function}\: \\ $$$${inside}\:\mid{z}\mid<\mathrm{5}\:{and}\:\mid{f}\left({z}\right)\mid\leqslant\mathrm{10}\:\forall{z}\:{on}\:{the} \\ $$$${circle}\:\mid{z}−\mathrm{1}\mid=\mathrm{2}\:{find}\: \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\mid{f}^{\:\mathrm{2}} \left(\mathrm{1}\right)\mid \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\mid{f}^{\:\mathrm{3}} \left(\mathrm{0}\right)\mid \\ $$

Commented by mohammad17 last updated on 11/Mar/21

if the function f is analytic function inside ∣z∣<5 and ∣f(z)∣≤10 ∀z on the circle ∣z−1∣=2 find (1)∣f^( 2) (1)∣ (2)∣f^( 3) (0)∣ help me sir please

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