On factorization of the solutions of second order linear differential equations

Jianhua ZHENG; Yuzan HE

doi:10.2969/jmsj/05340835

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

On factorization of the solutions of second order linear differential equations

Jianhua ZHENG, Yuzan HE

著者情報

キーワード: factorization, meromorphic solution, differential equation

ジャーナルフリー

2001 年 53 巻 4 号 p. 835-845

DOI https://doi.org/10.2969/jmsj/05340835

詳細

抄録

In this paper, we discuss factorization of the solutions of some linear ordinary differential equations with transcendental entire coefficients. We give a condition which shows that the solutions for some differential equations are prime, for some are factorizable.