Scifaro

中文

实亚纯函数线性微分多项式的非实零点

复变函数 2023-08-29 v3

作者: J. K. Langley

在 arXiv 上查看 ↗ PDF ↗

摘要

证明了若 $f$ 或 $1/f$ 是无穷增长级的实整函数且仅有实零点，则对任意 $\omega > 0$ ， $f''+\omega f$ 有无穷多个非实零点。

关键词

非实零点线性微分多项式实亚纯函数实整函数无穷增长级

引用

@article{arxiv.1905.12288,
  title  = {Non-real zeros of linear differential polynomials in real meromorphic functions},
  author = {J. K. Langley},
  journal= {arXiv preprint arXiv:1905.12288},
  year   = {2023}
}

备注

The paper has been superseded by arXiv:2105.11762 "Non-real zeros of derivatives", which has been accepted for publication