CAJ | 학술논문

主要研究关于多项式的Halley法Julia集的对称性问题。结合复动力学理论和对称群的知识，证明了多项式的Julia集的对称群是其Halley法Julia集的对称群的子群。进而给出关于多项式的Halley法的Julia集为一条水平直线的充要条件。
주요연구관우다항식적Halley법Julia집적대칭성문제。결합복동역학이론화대칭군적지식，증명료다항식적Julia집적대칭군시기Halley법Julia집적대칭군적자군。진이급출관우다항식적Halley법적Julia집위일조수평직선적충요조건。
The paper is devoted to the symmetries of Julia sets of Halley＇s method for polynomials. Associated with the theory of complex dynamics and the knowledge of the group of symmetries,it is proved that the group of symmetrises of Julia sets of polynomial is a subgroup of that of the corresponding Halley＇s method. A necessary and sufficient condition for Julia sets of Halley ＇s method to be horizontal line is obtained.