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Entire Functions Sharing a Small Function with their Derivatives

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Abstract

We investigate uniqueness problems for an entire function that shares a small function of finite order with one of its linear differential polynomials. In particular, we complete a result in [14], and give a generalization of a result in [11].

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Author notes

  1. Jilong Zhang

    Present address: Department of Physics and Mathematics, University of Joensuu, P. O. Box 111, 80101, Joensuu, Finland

Authors and Affiliations

  1. School of Mathematics & System Sciences, Shandong University, Jinan, Shandong, 250100, P. R. China

    Jilong Zhang

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  1. Jilong Zhang
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Correspondence to Jilong Zhang.

Additional information

This research was supported by the NNSF of China no. 10671109 and the Academy of Finland no. 210245.

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Zhang, J. Entire Functions Sharing a Small Function with their Derivatives. Comput. Methods Funct. Theory 9, 379–389 (2009). https://doi.org/10.1007/BF03321734

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  • DOI: https://doi.org/10.1007/BF03321734

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