Linear differential polynomials in zero-free meromorphic functions

2016/09/01 by Langley, J. K.
#30D35 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.00128

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.

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