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| author | luccul <luccul@gmail.com> | 2010-07-01 14:48:08 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-01 14:48:08 +0000 |
| commit | 2105c12088beae40a680104d181faa958889b574 (patch) | |
| tree | 8e1baafbbfbd3cdbfab4e0397fb5fe6230880594 /Problem Set 1.page | |
| parent | 93b6675157aed7f03bf0befc4fcc0fdd7fb657b2 (diff) | |
| download | afterklein-wiki-2105c12088beae40a680104d181faa958889b574.tar.gz afterklein-wiki-2105c12088beae40a680104d181faa958889b574.zip | |
added problem
Diffstat (limited to 'Problem Set 1.page')
| -rw-r--r-- | Problem Set 1.page | 4 |
1 files changed, 3 insertions, 1 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page index 91a2a40..60831d3 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -10,7 +10,9 @@ You might want to use this fact in the problems below, though it's not necessary. -5. Show that the function $f(z) = \overline{z}$ is not holomorphic, despite being angle-preserving. How does this function transform the complex plane? +- Write down the Cauchy-Riemann equations in polar coordinates. + +6. Show that the function $f(z) = \overline{z}$ is not holomorphic, despite being angle-preserving. How does this function transform the complex plane? - Show that the function $f(z) = z^n$ is holomorphic for any integer n (possibly negative!). How do these functions transform the complex plane? |