An analytic function of a complex variable z = x + iy is expressed as – McqOptions

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1.	An analytic function of a complex variable z = x + iy is expressed as f (z) = u(x,y) + iv (x, y) where i = √-1 . If u = xy, the expression for v should be
A.	\(\frac{{{{\left( {x + y} \right)}^2}}}{2} + k\)
B.	\(\frac{{{x^2} - {y^2}}}{2} + k\)
C.	\(\frac{{{y^2} - {x^2}}}{2} + k\)
D.	\(\frac{{{{\left( {x - y} \right)}^2}}}{2} + k\)
Answer» D. \(\frac{{{{\left( {x - y} \right)}^2}}}{2} + k\)

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