Does anyone have a textbook on multivariable complex analysis, and do they define a holomorphically convex domain in terms of the union of an ascending series of compact subsets? If so, how exactly does the definition go?(adsbygoogle = window.adsbygoogle || []).push({});

Was it [tex]D=\bigcup K_n[/tex] where [tex]K_n[/tex] is holomorphically convex and compact and [tex]K_n \subset K_{n+1}?[/tex]

Or [tex]D=\bigcup K_n[/tex] where [tex]K_n[/tex] is holomorphically convex and compact and [tex]K_n \subset \text{interior} (K_{n+1})?[/tex]

Laura

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Def'n of holomorphically convex domain

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**