- #1
Euge
Gold Member
MHB
POTW Director
- 2,073
- 243
Here is this week's POTW, suggested by Chris L T521:
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$\newcommand{\CC}{\mathbb{C}}$ Let the function $f$ be holomorphic in the open set $G\subset\CC$. Prove that the function $g(z)=\overline{f(\overline{z})}$ is holomorphic in the set $G^{\ast}=\{\overline{z}:z\in G\}$.
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!
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$\newcommand{\CC}{\mathbb{C}}$ Let the function $f$ be holomorphic in the open set $G\subset\CC$. Prove that the function $g(z)=\overline{f(\overline{z})}$ is holomorphic in the set $G^{\ast}=\{\overline{z}:z\in G\}$.
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!