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March 11th, 2018, 06:23 AM   #1
Joined: Jan 2016
From: Blackpool

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Starlike functions proof

Show the following regions are starlike:

The open right half plane $z\in\mathbb{C}:Re(z)>0$

The cut plane $\mathbb{C}=\mathbb{C}/(-\infty,0]$

This seems easy intuitively. However, how would I actually prove that these functions are starlike? Could I create a parameter and show that every arbitrary point from the starcentre is reached?

Last edited by skipjack; March 11th, 2018 at 02:41 PM.
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