Interesting, I (mistakenly) thought the CR equations meant the function is analytic, which is not quite true, only holomorphic. I’ve had that wrong in my head for years!
Let f(z) is be complex function and u(x,y) & v(x,y) be real functions.
f(z) is said to be holomorphic if u,v satisfy the Cauchy-Riemann equationspic.twitter.com/C0MPdaAg5w
-
-
-
I think the confusion honestly just comes from the fact that a lotttt of professors use them interchangeably.. though I’m certain my UG complex professor
@rsachsgmu is certainly not to blame for my confusion - 2 more replies
New conversation -
-
-
The proof of this is nice using the definition of first partials and limits along the real and imaginary axes.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.