Geodesic
Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials
Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 281-304
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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).
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).
DOI : 10.21136/MB.2019.0010-18
Classification : 30D30, 30D35
Keywords: uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family 
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Majumder, Sujoy; Mandal, Rajib. Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials. Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 281-304. doi: 10.21136/MB.2019.0010-18

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