# Math Help - Quick check on an analytic function

1. ## Quick check on an analytic function

This may seem stupid but...

if $z = x + iy$

and i let U = x and V = y

$Ux= 1, Uy = 0$ and $Vy = 1, Vx = 0$

can i say $Uy = -Vx$?

i.e. the function f(z) = z is analytic

2. Originally Posted by Tekken
This may seem stupid but...

if $z = x + iy$

and i let U = x and V = y

$Ux= 1, Uy = 0$ and $Vy = 1, Vx = 0$

can i say $Uy = -Vx$?

i.e. the function f(z) = z is analytic
I assume you mean that $U_x = 1, U_y = 0, V_x = 0, V_y = 1$.

Since $U_x = V_y$ and $U_y = -V_x$, yes, the function is analytic.