Angle between two curves at infinity?

Asked Mar 07 '16 at 06:16

Active Mar 07 '16 at 07:04

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In complex analysis, how would I find the angle between the two curves $f(z)=0$ and $g(z)=0$ at $\infty$?

My guess would be that we would let $w=\frac{1}{z}$ and find the angle between the two curves at $w=0$ but if this is right would it work in every case or are there exceptions?

edited Mar 07 '16 at 07:04

asked Mar 07 '16 at 06:16

Quantum spaghettification

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$z^{-1}$ is conformal so it should work. – Henricus V. Mar 07 '16 at 06:33
Perhaps you should take limit of $w$ goes to zero in both parts separately. Not sure if it makes a difference in most cases. – Patrick the Cat Mar 07 '16 at 06:42

Angle between two curves at infinity?

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