Title of article :
On the radial distribution of Julia sets of entire solutions of
Author/Authors :
Huang، نويسنده , , Zhigang C. Wang، نويسنده , , Jun، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
This paper is devoted to studying the dynamical properties of solutions of f ( n ) + A ( z ) f = 0 , where n ( ⩾ 2 ) is an integer, and A ( z ) is a transcendental entire function of finite order. We find the lower bound on the radial distribution of Julia sets of E ( z ) provided that E = f 1 f 2 ⋯ f n and { f 1 , f 2 , … , f n } is a solution base of such equations.
Keywords :
Radial distribution , Entire function , Julia set , differential equation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications