Mathematica Bohemica, Vol. 141, No. 3, pp. 339-361, 2016
Nonlinear differential monomials sharing two values
Sujoy Majumder
Received December 23, 2013. First published June 16, 2016.
Abstract: 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 $\smash{h^nh^{(k)}}$ $(h=f,g)$ 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).
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Affiliations: Sujoy Majumder, Department of Mathematics, Katwa College, University of Burdwan, Katwa College Rd., Katwa, Burdwan, C.P. 713130, West Bengal, India, e-mail: sujoy.katwa@gmail.com, smajumder05@yahoo.in
