# CARATHÉODORY FINITELY COMPACTNESS OF THE BOUNDED ATTRACTING BASIN OF THE ORIGIN

Park, Sung-Hee

• Accepted : 2007.06.08
• Published : 2007.06.25
• 48 5

#### Abstract

We prove that the bounded attracting basin of the origin for a complex homogeneous polynomial of degree larger than two is Carath$\'{e}$odory finitely compact.

#### Keywords

balanced domain;Carath$\'{e}$odory finitely compact;basin of attraction

#### References

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