论文标题
关于Euler伽马功能的定义
On the definition of Euler Gamma function
论文作者
论文摘要
我们提出了Euler Gamma功能的新定义。从复杂的分析和跨层次的角度来看，它是有限顺序的杂形函数空间中的自然表征。我们展示了古典理论和公式如何自然发展，并讨论了与其他定义的关系。我们在同伴文章中表明，该定义概括为更高的伽马功能，并为其定义提供了一个统一的框架，该框架比通常的Bohr-Mollerup或Lerch方法更自然。
We present a new definition of Euler Gamma function. From the complex analysis and transalgebraic viewpoint, it is a natural characterization in the space of finite order meromorphic functions. We show how the classical theory and formulas develop naturally, and we discuss the relation with other definitions. We show in a companion article, that this definition generalizes to higher gamma functions and provides an unifying framework for their definition which is more natural than the usual Bohr-Mollerup or Lerch approaches.
