Non-real zeros of linear differential polynomials

被引：9

作者：

Langley, J. K. ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2009年 / 107卷

基金：

英国工程与自然科学研究理事会;

关键词：

MEROMORPHIC FUNCTIONS; INFINITE-ORDER; DERIVATIVES; CONJECTURE; POLYA; QUESTION; GROWTH; WIMAN;

D O I：

10.1007/s11854-009-0005-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a real entire function with finitely many non-real zeros, not of the form f = Ph with P a polynomial and h in the Laguerre-PA(3)lya class. Lower bounds are given for the number of non-real zeros of faEuro(3) + omega f, where omega is a positive real constant.

引用

页码：107 / 140

页数：34

共 32 条

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