The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, where F = f (k) + ak−1f(k−1)+ ... + a0f with k ≥ 3 and the aj rational functions. MSC 2010:30D35

Langley, J.K.

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Linear differential polynomials in zero-free meromorphic functions

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Linear differential polynomials in zero-free meromorphic functions

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