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Linear differential polynomials in zero-free meromorphic functions

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The paper determines all meromorphic functions with finitely many zeros in the plane having the property that a linear differential polynomial in the function, of order at least 3 and… Click to show full abstract

The paper determines all meromorphic functions with finitely many zeros in the plane having the property that a linear differential polynomial in the function, of order at least 3 and with rational functions as coefficients, also has finitely many zeros.

Keywords: free meromorphic; meromorphic functions; zero free; polynomials zero; linear differential; differential polynomials

Journal Title: Annales Academiae Scientiarum Fennicae Mathematica
Year Published: 2018

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