A function f of the complex variable z = x + i y, is given as f(x, y) = u(x, y) + i v(x, y), where u(x, y) = 2kxy and v(x, y) = x 2 – y 2 . The value of k, for which the function is analytic is _____

GATE Mechanical Engineering (ME) 2016 Shift 2 Solved Paper

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A function f of the complex variable z = x + i y, is given as f(x, y) = u(x, y) + i v(x, y), where u(x, y) = 2kxy and v(x, y) = x² – y². The value of k, for which the function is analytic is _____

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