## Proceedings of the Japan Academy, Series A, Mathematical Sciences

### On radial distributions of Julia sets of Newton’s method of solutions of complex differential equations

#### Abstract

In this paper we mainly investigate the radial distribution of Julia sets of Newton’s method of entire solutions of some complex linear differential equations. Under certain conditions, we find the lower bound of it and also obtain some related results.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 92, Number 1 (2016), 1-6.

Dates
First available in Project Euclid: 28 December 2015

https://projecteuclid.org/euclid.pja/1451330559

Digital Object Identifier
doi:10.3792/pjaa.92.1

Mathematical Reviews number (MathSciNet)
MR3447742

Zentralblatt MATH identifier
1372.30014

#### Citation

Zhang, Guowei; Yang, Lianzhong. On radial distributions of Julia sets of Newton’s method of solutions of complex differential equations. Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 1, 1--6. doi:10.3792/pjaa.92.1. https://projecteuclid.org/euclid.pja/1451330559

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