On the growth of transcendental entire functions with multiply connected components
On the growth of transcendental entire functions with multiply connected components
摘要
Let g and h be two transcendental entire functions. Suppose that the Fatou set F（goh） contains multiply connected components. In this article, we will consider the growth of the functions g and h.
Let g and h be two transcendental entire functions. Suppose that the Fatou set F（goh） contains multiply connected components. In this article, we will consider the growth of the functions g and h.
参考文献9
-
1Chun Lei CAO,Yue Fei WANG Institute of Mathematics. AMSS. Chinese Academy of Sciences. Beijing 100080. P. R. China.On the Simple Connectivity of Fatou Components[J].Acta Mathematica Sinica,English Series,2002,18(4):625-630. 被引量：1
-
2Walter Bergweiler,Yuefei Wang.On the dynamics of composite entire functions[J].Arkiv f?r matematik.1998(1)
-
3Hua Xin-hou,,Yang Chung-chun.Dynamics of Transcendental Functions[]..1998
-
4Baker I N.Some entire functions with multiply connected wandering domains[].Ergodic Theory and Dynamical Systems.1985
-
5Bergweiler W.Iteration of meromorphic functions[].Bulletin of the American Mathematical Society.1993
-
6Polya G.On an integral function of an integral function[].Journal of the London Mathematical Society.1926
-
7Wang Xiao-ling,Yang Chung-chun.On the wandering and Baker domains of transcendental entire functions[].International Journal of Bifurcation and Chaos.2004
-
8Zheng Jian-hua.On multiply-connected Fatou components in iteration of entire functions[].Journal of Mathematical.2006
-
9Morosawa S,,Nishimura Y,Taniguchi M,,Ueda T.Holomorphic Dynamics[]..2000
二级参考文献10
-
1Ma B,van Doorne CWH,Zhang Z,et al.On the spatial evolution of a wall imposed periodic disturbance in pipe Poiseuille flow at Re=3000,Part 1:Subcritical disturbance[].Journal of Fluid Mechanics.1999
-
2Schumann U.Subgrid scale model for finite difference simulations of turbulent flows in plane channel and annuli[].Journal of Computational Physics.1975
-
3Warhaft Z.Passive Scalars in Turbulent Flows[].Annual Review of Fluid Mechanics.2000
-
4Jiang N,Shu W,Wang ZD.Burst event detection in wall turbulence by wvita method[].Acta Mechanica Sinica.2000
-
5Aubry NH,Lumley P,Holmes PJ,et al.The dynamics of coherent structures in the wall region of a turbulent boundary layer[].Journal of Fluid Mechanics.1988
-
6Lorenz EN.Deterministic nonperiodic flow[].Journal of the Atmospheric Sciences.1963
-
7Cantwell BJ.Organized motion in turbulent flows[].Annual Review of Fluid Mechanics.1981
-
8Piomelli U,Ferziger J,Moin P.New approximate boundary conditions for large eddy simulation[].Physics of FluidsA.1989
-
9Adrian RJ,Meinhart CD.Vortex organization in the outer region of the turbulent boundary layer[].Journal of Fluid Mechanics.2000
-
10Shraiman BI,Siggia ED.Scalar turbulence[].Nature.2000
-
1Cun Ji YANG,Yu Hua LI.Bounded Fatou Components of Transcendental Entire Functions with Order Less than 1/2[J].Acta Mathematica Sinica,English Series,2015,31(4):647-658. 被引量：2
-
2杨重骏,杨乐,王跃飞.On the Zeros of (f^((k)))~nf-a[J].Chinese Science Bulletin,1994,39(8):617-621.
-
3WEN Guo-chun.The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains[J].Applied Mathematics(A Journal of Chinese Universities),2013,28(2):127-137.
-
4王小灵,孙朗伟,杨德贵,鲍远圣.Julia sets of semi-conjugated transcendental entire functions[J].Journal of Harbin Institute of Technology(New Series),2008,15(3):383-385.
-
5伍家凤,徐光伟,王小灵.On the Growth of Transcendental Entire Functions with Unbounded Fatou Components[J].Journal of Donghua University(English Edition),2006,23(2):80-82.
-
6陈宗煊.ON THE DIFFERENCE COUNTERPART OF BRCK'S CONJECTURE[J].Acta Mathematica Scientia,2014,34(3):653-659. 被引量：3
-
7Li Zhaoxia Ko Janming Ni Yiqing.SHEAR STRESS ANALYSIS OF TIMOSHENKO'S BEAM WITH MULTIPLY CONNECTED CROSS SECTION[J].Acta Mechanica Solida Sinica,2001,14(1):48-57.
-
8钟昌勇.A NOTE TO THE NEVANLINNA'S FUNDAMENTAL THEOREM[J].Chinese Annals of Mathematics,Series B,1989,10(3):351-360.
-
9李玉成,向田康之.三维有限元自动网格生成[J].数值计算与计算机应用,1995,16(4):282-289. 被引量：1
-
10Chen Zongxuan,Gao Shian Department of Mathematics, Jiangxi Normal University. Nanchang 330027, China Department of Mathematics, South China Normal University, Guangzhou 510631. China.Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients[J].Acta Mathematica Sinica,English Series,1997,13(4):453-464. 被引量：5
