Linear differential polynomials in zero-free meromorphic functions
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.
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| Format: | Article |
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Suomalainen Tiedeakatemia, Academia Scientiarum Fennica
2018
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| Online Access: | https://eprints.nottingham.ac.uk/49549/ |
| _version_ | 1848798022204391424 |
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| author | Langley, J.K. |
| author_facet | Langley, J.K. |
| author_sort | Langley, J.K. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:13:09Z |
| format | Article |
| id | nottingham-49549 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:13:09Z |
| publishDate | 2018 |
| publisher | Suomalainen Tiedeakatemia, Academia Scientiarum Fennica |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-495492020-05-04T19:29:43Z https://eprints.nottingham.ac.uk/49549/ Linear differential polynomials in zero-free meromorphic functions Langley, J.K. 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. Suomalainen Tiedeakatemia, Academia Scientiarum Fennica 2018-02-02 Article PeerReviewed Langley, J.K. (2018) Linear differential polynomials in zero-free meromorphic functions. Annales Academiae Scientiarum Fennicae Mathematica . ISSN 1798-2383 (In Press) meromorphic function; zeros |
| spellingShingle | meromorphic function; zeros Langley, J.K. Linear differential polynomials in zero-free meromorphic functions |
| title | Linear differential polynomials in zero-free meromorphic functions |
| title_full | Linear differential polynomials in zero-free meromorphic functions |
| title_fullStr | Linear differential polynomials in zero-free meromorphic functions |
| title_full_unstemmed | Linear differential polynomials in zero-free meromorphic functions |
| title_short | Linear differential polynomials in zero-free meromorphic functions |
| title_sort | linear differential polynomials in zero-free meromorphic functions |
| topic | meromorphic function; zeros |
| url | https://eprints.nottingham.ac.uk/49549/ |