Non-real zeros of real differential polynomials

被引：7
|
作者：
Langley, J. K. [1 ]
机构：
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2011年 / 141卷
关键词：
POLYA-WIMAN CONJECTURE; MEROMORPHIC FUNCTIONS; INFINITE-ORDER; DERIVATIVES; PROOF; NUMBER;
D O I：
10.1017/S0308210510000284
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main results of the paper determine all real meromorphic functions f of finite lower order in the plane such that f has finitely many zeros and non-real poles and such that certain combinations of derivatives of f have few non-real zeros.
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页码：631 / 639
页数：9
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