DOI QR코드

DOI QR Code

CARATHÉODORY FINITELY COMPACTNESS OF THE BOUNDED ATTRACTING BASIN OF THE ORIGIN

Park, Sung-Hee

  • Received : 2007.05.10
  • Accepted : 2007.06.08
  • Published : 2007.06.25

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

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