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Question Number 169808 by Mastermind last updated on 09/May/22

If the Real component of an analytic  function is given by log_e (x^2 +y^2 )^(1/2) ,  find the function.    Mastermind

$${If}\:{the}\:{Real}\:{component}\:{of}\:{an}\:{analytic} \\ $$$${function}\:{is}\:{given}\:{by}\:{log}_{{e}} \left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} , \\ $$$${find}\:{the}\:{function}. \\ $$$$ \\ $$$${Mastermind} \\ $$

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