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Keywords:
uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family
uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family
Summary:
With the idea of normal family we study the uniqueness of meromorphic functions $f$ and $g$ when $f^{n}(f^{(k)})^{m}-p$ and $g^{n}(g^{(k)})^{m}-p$ share two values, where $p$ is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder (2018).
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