J. K. Langley
Zeros of derivatives of strictly nonreal meromorphic functions
Langley, J. K.
Authors
Abstract
Let f be a meromorphic function in the plane and let e f(z) = f(_z) (this notation will be used throughout). Here f is called real if e f = f, and strictly non-real if e f is not a constant multiple of f. There has been substantial research concerning non-real zeros of derivatives of real entire or real meromorphic functions [1, 2, 4, 13, 14, 19, 22, 27, 28], but somewhat less in the strictly non-real case. The following theorem was proved in [12].
Citation
Langley, J. K. (2020). Zeros of derivatives of strictly nonreal meromorphic functions. Illinois Journal of Mathematics, 64(2), 261-290. https://doi.org/10.1215/00192082-8513350
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 19, 2020 |
Online Publication Date | May 1, 2020 |
Publication Date | Jun 1, 2020 |
Deposit Date | Feb 24, 2020 |
Publicly Available Date | Mar 28, 2024 |
Journal | Illinois Journal of Mathematics |
Print ISSN | 0019-2082 |
Electronic ISSN | 1945-6581 |
Publisher | Duke University Press |
Peer Reviewed | Peer Reviewed |
Volume | 64 |
Issue | 2 |
Pages | 261-290 |
DOI | https://doi.org/10.1215/00192082-8513350 |
Keywords | Complex Variables; |
Public URL | https://nottingham-repository.worktribe.com/output/2461130 |
Publisher URL | https://projecteuclid.org/euclid.ijm/1588298630 |
Related Public URLs | https://ijm.math.illinois.edu |
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