本文搜集了Γ函数的简单性质与应用。按照以下的方式叙述：首先在实数域上利用 含参广义积分、无穷乘积、对数凸来证明Γ函数的常见性质；然后将Γ函数的定义推广到 复数域上，简述Weierstrass整函数以及Mellin 变换理论，以展现前面提到结果的复分析意义；最后介绍Γ函数的几个简单应用，涉及求积分、概率统计 等方面。 为了正文的顺畅，理论的准备放在附录A中，Euler引入Γ函数的历史将在附录B中。 B中陈述。

In this article , We collected the materials of Gamma Function at our undergraduate level.Firstly,by the method of integral ,we get the basic properties of Gamma Function;secondly,using the tool of log-convex introduced by Emil Artin,We recovered the above properties;thirdly,by analytic continuation,we extend the Gamma function to a meromorphic function defined for all complex numbers z except 0 and the negative integers,then used the Weierstrass Entire Function Theory and Melling transform ,to see the Complex Analysis nature of the above properties;lastly we listed some simple application of Gamma function in calculating the integral and the fields of probability and statistics,and combinatorics. The theoretical preparation was list in Appendix A,and the history of the Euler's introduction of Gamma Function was listed in Appendix B.