预赋零近似阶整函数
Entire functions with preassigned zero proximate order
摘要：
已知如果近似阶$ρ(r)$使得$\lim ρ(r) = ρ> 0 (r \to \infty)$，则存在近似阶$ρ(r)$的整函数$f(z)$。在$ρ= 0$的情况下，关于这种整个功能的存在的问题直到现在仍然是开放的。本文对这一问题进行了研究。
英文摘要：
It is known that if the proximate order $ρ(r)$ such that $\lim ρ(r) = ρ> 0 (r \to \infty)$, then there exists an entire function $f(z)$ of proximate order $ρ(r)$. In the case where $ρ= 0$ the question about the existence of such entire function remained open until now. This question is investigated in the paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
