Forum for the GRE subject test in mathematics.

EmLasker
 Posts: 24
 Joined: Sun Oct 05, 2008 1:41 am
Post
by EmLasker » Tue Oct 14, 2008 10:56 pm
This one has me a bit stumped...
Suppose f is an analytic function of z = z + iy given by
f(z) = (2x + 3y) + ig(x,y), where g is a real valued function of x and y. If g(2,3) = 1, then g(7,3) =
A) 14
B) 9
C) 0
D) 11
E) 18

Nameless
 Posts: 128
 Joined: Sun Aug 31, 2008 4:42 pm
Post
by Nameless » Tue Oct 14, 2008 10:59 pm
use the Cauchy Riemann equation and from the condition :g(2,3) = 1 find g

EmLasker
 Posts: 24
 Joined: Sun Oct 05, 2008 1:41 am
Post
by EmLasker » Wed Oct 15, 2008 11:38 pm
The one thing we skipped in my complex analysis class... Luckily the Cauchy Riemann equations are fairly easy to understand (at least in relation to this problem) and memorize. I also got a for the answer. Thank you for the direction Nameless.
Peter