MEROMORPHIC FUNCTIONS SHARING A NONZERO POLYNOMIAL CM

Title & Authors
MEROMORPHIC FUNCTIONS SHARING A NONZERO POLYNOMIAL CM
Li, Xiao-Min; Gao, Ling;

Abstract
In this paper, we prove that if $\small{f^nf\;-\;P}$ and $\small{g^ng\;-\;P}$ share 0 CM, where f and g are two distinct transcendental meromorphic functions, $\small{n\;{\geq}\;11}$ is a positive integer, and P is a nonzero polynomial such that its degree $\small{{\gamma}p\;{\leq}\;11}$, then either $f\; Keywords meromorphic functions;shared values;differential polynomials;uniqueness theorems; Language English Cited by 1. Meromorphic Functions Sharing a Nonzero Polynomial IM,; Kyungpook mathematical journal, 2013. vol.53. 2, pp.191-205 1. Uniqueness of meromorphic functions sharing a nonzero polynomial with finite weight, Lobachevskii Journal of Mathematics, 2013, 34, 1, 106 2. Uniqueness of meromorphic functions sharing two values, Journal of Inequalities and Applications, 2012, 2012, 1, 100 3. Uniqueness of meromorphic functions sharing one value or fixed points, Journal of Contemporary Mathematical Analysis, 2014, 49, 6, 359 4. Meromorphic Functions Sharing a Nonzero Polynomial IM, Kyungpook mathematical journal, 2013, 53, 2, 191 References 1. T. C. Alzahary and H. X. Yi, Weighted sharing three values and uniqueness of meromorphic functions, J. Math. Anal. Appl. 295 (2004), no. 1, 247–257. 2. W. Bergweiler and A. Eremenko, On the singularities of the inverse to a meromorphic function of finite order, Rev. Mat. Iberoamericana 11 (1995), no. 2, 355–373. 3. W. Bergweiler and X. C. Pang, On the derivative of meromorphic functions with multiple zeros, J. Math. Anal. Appl. 278 (2003), no. 2, 285–292. 4. H. H. Chen and M. L. Fang, The value distribution of$f^n\$ f', Sci. China Ser. A 38 (1995), no. 7, 789–798.

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