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

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Keywords: factorization, meromorphic solution, differential equation

JOURNAL FREE ACCESS

2001 Volume 53 Issue 4 Pages 835-845

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

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Abstract

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.

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