Linear differential polynomials in zero-free meromorphic functions

Langley, J.K.

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. MSC 2010:30D35.

Citation

Langley, J. (2018). Linear differential polynomials in zero-free meromorphic functions. Annales Academiae Scientiarum Fennicae. Mathematica, 43, 693-735. https://doi.org/10.5186/aasfm.2018.4348

• Journal Article Type: Article
• Acceptance Date: Feb 2, 2018
• Online Publication Date: Aug 24, 2018
• Publication Date: Aug 24, 2018
• Deposit Date: Feb 5, 2018
• Publicly Available Date: Aug 28, 2018
• Journal: Annales Academiae Scientiarum Fennicae Mathematica
• Electronic ISSN: 1798-2383
• Publisher: Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters)
• Peer Reviewed: Peer Reviewed
• Volume: 43
• Pages: 693-735
• DOI: https://doi.org/10.5186/aasfm.2018.4348
• Keywords: meromorphic function; zeros
• Public URL: https://nottingham-repository.worktribe.com/output/908557
• Publisher URL: http://www.acadsci.fi/mathematica/Vol43/Langley.html
• Related Public URLs: http://www.acadsci.fi/mathematica/