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GATE ME 2016 Set 2 — Question 14

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NAT+1 / -0EasyAnalytic FunctionsComplex VariablesEngineering MathematicsCauchy-Riemann Equations

Engineering Mathematics → Complex Variables → Analytic Functions

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Question

A function ff of the complex variable z=x+iyz = x + i y, is given as f(x,y)=u(x,y)+iv(x,y)f(x, y) = u(x, y) + i v(x, y), where u(x,y)=2kxyu(x, y) = 2kxy and v(x,y)=x2−y2v(x, y) = x^2 - y^2. The value of kk, for which the function is analytic, is _____
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