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Meromorphic Function Sharing Sets with Its Difference Operator or Shifts

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Abstract

Let f be a nonconstant meromorphic function, c ∊ ℂ, and let a(z)(≢ 0) ∊ S(f) be a meromorphic function. If f(z) and P(z, f(z)) share the sets {a(z), −a(z)}, {0} CM almost and share {∞} IM almost, where P(z, f(z)) is defined as (1.1), then f(z) ≡ ±P(z, f(z)) or f(z)P(z, f(z)) ≡ ±a2(z). This extends the results due to Chen and Chen (2013), Liu (2009) and Yi (1987).

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Acknowledgement

The authors thank the referees and editors for several helpful suggestions.

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Authors and Affiliations

  1. Institute of Applied Mathematics, South China Agricultural University, Guangzhou, 510642, China

    Bingmao Deng, Chunlin Lei & Mingliang Fang

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  1. Bingmao Deng
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  2. Chunlin Lei
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  3. Mingliang Fang
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Corresponding author

Correspondence to Mingliang Fang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11701188).

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Deng, B., Lei, C. & Fang, M. Meromorphic Function Sharing Sets with Its Difference Operator or Shifts. Chin. Ann. Math. Ser. B 40, 331–338 (2019). https://doi.org/10.1007/s11401-019-0136-6

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  • DOI: https://doi.org/10.1007/s11401-019-0136-6

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