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

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