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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight. (English. French summary) Zbl 1492.30076

Summary: In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight. Our result improves and extends some recent results due to P. Sahoo and H. Karmakar [J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 2, 102–110 (2017) and Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 2, 39–52 (2017; Zbl 1369.30035)] and that of W.-L. Li et al. [Bull. Malays. Math. Sci. Soc. (2) 39, No. 2, 499–515 (2016; Zbl 1336.30050)]. Some examples have been exhibited which are relevant to the content of the paper.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39A10 Additive difference equations
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References:

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