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.

引用

页码：631 / 639

页数：9

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