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arxiv: 1609.00128 · v4 · pith:UNWCGEOQnew · submitted 2016-09-01 · 🧮 math.CV

Linear differential polynomials in zero-free meromorphic functions

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keywords functionsdifferentialfinitelylinearmanymeromorphiczeroscoefficients
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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 with rational functions as coefficients, also has finitely many zeros.

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