The uniqueness problem and meromorphic solutions of partial differential equations
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A general uniqueness theorem is proved for meromorphic functions in Cn which share three distinct small functions with their linear partial differential polynomials. As a consequence, a necessary and sufficient condition in terms of shared values for a meromorphic function to be a solution of a linear partial differential equation of constant coefficients is obtained.
KeywordsEntire Function Meromorphic Function Uniqueness Problem Logarithmic Derivative Partial Differential Operator
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