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Zeros of derivatives of strictly nonreal meromorphic functions

Langley, J. K.

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Authors

J. K. Langley



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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