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Keywords:
uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials
uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials
Summary:
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).
References:
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