Entire functions of small growth that share one value with its linear differential polynomials

Jun Wang; Hongxun Yi

doi:10.2996/kmj/1073670606

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

Entire functions of small growth that share one value with its linear differential polynomials

Jun Wang, Hongxun Yi

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Keywords: entire functions, differential polynomials, small function, uniqueness

JOURNAL FREE ACCESS

2003 Volume 26 Issue 3 Pages 245-258

DOI https://doi.org/10.2996/kmj/1073670606

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Abstract

In this paper, we investigate the relationship between an entire function of small growth f and its linear differential polynomial L(f) when they share one value by applying value distribution theory and complex oscillation theory. As consequences of the main result we can get the precise form of f.

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