Uniqueness of two transcendental meromorphic functions whose differential polynomials share the value 1
Abstract
In 2018, Tao and Wang [Uniqueness of meromorphic functions whose differential polynomials share one value, Journal of Applied Mathematics and Physics, 6,(2018),2264-2272] proved a uniqueness theorem of meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions. In this paper we improve their results by introducing another transcendental meromorphic function. We prove uniqueness theorem of differential polynomials of two transcendental meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions, where the degrees of the powers are equal to those of the nonlinear differential polynomials.
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