Annales Academiæ Scientiarum Fennicæ
Volumen 43, 2018, 693-735
University of Nottingham, School of Mathematical Sciences
NG7 2RD, United Kingdom; james.langley 'at' nottingham.ac.uk
Abstract. 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.
2010 Mathematics Subject Classification: Primary 30D35.
Key words: Meromorphic function, zeros.
Reference to this article: J. K. Langley: Linear differential polynomials in zero-free meromorphic functions. Ann. Acad. Sci. Fenn. Math. 43 (2018), 693-735.
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