Geodesic
Nonlinear differential monomials sharing two values
Mathematica Bohemica, Tome 141 (2016) no. 3, pp. 339-361
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Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash {h^{n}h^{(k)}}$ $(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper significantly rectify, improve and generalize the results due to Cao and Zhang (2012).
Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash {h^{n}h^{(k)}}$ $(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper significantly rectify, improve and generalize the results due to Cao and Zhang (2012).
DOI : 10.21136/MB.2016.0080-13
Classification : 30D35
Keywords: uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials 
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Majumder, Sujoy. Nonlinear differential monomials sharing two values. Mathematica Bohemica, Tome 141 (2016) no. 3, pp. 339-361. doi: 10.21136/MB.2016.0080-13

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