【摘要】 将贝塔函数和伽玛函数推广到多元情形,利用随机变量的独立性和概率密度变换公式,得到广义贝塔函数和广义伽玛函数之间的一个重要关系式,它是贝塔函数与伽玛函数关系式:B(a,b)=(Γ(a)Γ(b))/(Γ(a+b))(a>0,b>0)的推广,还得到一些更加一般的积分恒等式.更多还原

【Abstract】 This paper popularize the beta function and the gamma function to multiple cases,Using independence of the random variable and probability density transform formula,Get an important relation of generalized beta function and generalized the gamma function,It’s the promotion of the following important relation about beta function and gamma function:B(a,b) = Γ(a)Γ(b)/Γ(a+b)(a > 0,b > 0),We also get some more general integral identities.更多还原