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| -rw-r--r-- | Problem Set 1.page | 4 |
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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? |