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March 11th, 2018, 06:23 AM  #1 
Member Joined: Jan 2016 From: Blackpool Posts: 93 Thanks: 2  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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functions, proof, starlike 
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