engineering recuitment ISRO Scientist Mechanical Mock Test Engineering Mathematics Complex Variables Analytic Functions
An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + i v(x, y), where i = √-1. If u(x, y) = x2 – y2, then expression for v(x, y) in terms of x, y and a general constant c would be
1
xy + c
2
\(\frac{{{x^2} + {y^2}}}{2} + c\)
3
2xy + c
4
\(\frac{{{{\left( {x - y} \right)}^2}}}{2} + c\)