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| -rw-r--r-- | Problem Set 1.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page index 60831d3..34389c4 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -10,9 +10,9 @@ You might want to use this fact in the problems below, though it's not necessary. -- Write down the Cauchy-Riemann equations in polar coordinates. +5. 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 $f(z) = \overline{z}$ 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? |