Abstract
Γ function as a parametric integration containing the special points, has a wide range of applications in mathematical equations, probability theory, physics and other disciplines. This paper expound the definition of Γ function and special nature, Mainly, we analyze of the following aspects of Application. First we analyze and prove by some examples that: using the convergence of Γ function can solve the probability-integral value, also analyzing and comparativing several different methods of solving ideas; second it can solve the normal distribution, and the Laplace distribution of the expectations, variance, skewness coefficient and kurtosis coefficient; third it also can denote the chi-square distribution of the probability density function. The ideas in this paper have a reference value for the application of further studying on Γ function.
Keywords：Probability Theory; Γ function; solve and application
