The Julia limiting directions of entire solutions of complex differential equationsf(n)+Pn-1(z)f(n-1)+…+P0(z)f=0 and f"+A(z)f'+B(z)f=0 are studied by using Phragmén-Lindelöf indicator function and the properties of the completely regular growth functions,the lower bound of the measure of the set of common Julia limiting directions of the derivatives and primitives of infinite order entire solutions of the equations mentioned above is obtained,where n≥2,Pj(z)(j=1,2,…,n-1)are entire functions,P0(z),A(z)and B(z)are entire functions of completely regular growth.
关键词
复微分方程/Julia集的极限方向/Phragmén-Lindelöf指标函数/完全正规增长
Key words
complex differential equation/the limiting direction of Julia set/Phragmén-Lindelöf indicator function/completely regular growth
维普
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