Zeros of derivatives of entire functions-Reference-Cited by-同舟云学术

Zeros of derivatives of entire functions

Published:1987 Issue:2 Volume:101 Page:323-326
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Craven Thomas,Csordas George,Smith Wayne

Abstract

It is shown that if a real entire function of genus one has only finitely many nonreal zeros, then, its derivatives, from a certain one onward, have only real zeros.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-101-02/S0002-9939-1987-0902550-1/S0002-9939-1987-0902550-1.pdf

Reference10 articles.

1. M. Ålander, Sur le déplacement des zéros des fonctions entières par leur dérivation, dissertation, Upsala, 1914.

2. \bysame, Sur les dérivées successives des fonctions régulières, Opuscula Mathematica A. Wiman Dedicata, Lund, 1930, pp. 79-98.

3. The zeros of derivatives of entire functions and the Pólya-Wiman conjecture;Craven, Thomas;Ann. of Math. (2),1987

4. E. Laguerre, Oeuvres, vol. 1, Gauthier-Villars, Paris, 1898.

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