LIMITING DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS TO COMPLEX DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(16)30118-7

Abstract

Abstract:

In this paper, we mainly investigate the dynamical properties of entire solutions of complex differential equations. With some conditions on coefficients, we prove that the set of common limiting directions of Julia sets of solutions, their derivatives and their primitives must have a definite range of measure.

Key words: limiting direction, Julia set, entire function, linear differential equation, deficiency

Jun WANG, Zongxuan CHEN. LIMITING DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS TO COMPLEX DIFFERENTIAL EQUATIONS[J].Acta mathematica scientia,Series B, 2017, 37(1): 97-107.

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