例外集为空的超越函数
Some transcendental functions with an empty exceptional set
摘要：
超越函数通常返回代数点处的超越值。（代数）例外形成所谓的\emph{exceptional set}，例如根据厄米-林德曼定理，函数$f(z) = e^z \,$的酉集$\{0\}$。本文给出了例外集为空的超越整函数的一些具体例子。
英文摘要：
A transcendental function usually returns transcendental values at algebraic points. The (algebraic) exceptions form the so-called \emph{exceptional set}, as for instance the unitary set $\{0\}$ for the function $f(z) = e^z \,$, according to the Hermite-Lindemann theorem. In this note, we give some explicit examples of transcendental entire functions whose exceptional set are empty.
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。
