中文

不规则增长的 Laplace 变换

复变函数 2026-04-15 v3

摘要

我们给出一个Laplace变换的例子,即 γeζzdμ(ζ)\int_\gamma e^{\zeta z} d\mu(\zeta),其增长不规则。这回答了Hayman的列表中的一个问题。

关键词

引用

@article{arxiv.2511.00275,
  title  = {A Laplace transform of irregular growth},
  author = {Jan Wiegerinck},
  journal= {arXiv preprint arXiv:2511.00275},
  year   = {2026}
}

备注

5 pages. Section 2 was expanded to improve readability and some inaccuracies have been corrected. The proof in Section 3 has been expanded a bit In the final version only the introduction has been changed slightly