If f(z) = u + iv is an analytic function of z = x + iy and u – v = ex (cosy - siny), then f(z) in terms of z is
1
\({e^{ - {z^2}}} + \left( {1 + i} \right)c\)
2
e - z + (1 + i)c
3
ez + (1 + i)c
4
e - 2z + (1 + i)c
If f(z) = u + iv is an analytic function of z = x + iy and u – v = ex (cosy - siny), then f(z) in terms of z is