Γ函数与B函数的性质及其应用  

The Properties and Applications of Γ Function and B Function

作　　者：周晓晖[1] 

机构地区：[1]江苏联合职业技术学院连云港财经分院,江苏连云港222003

出　　处：《西昌学院学报（自然科学版）》2014年第3期16-19,共4页Journal of Xichang University(Natural Science Edition)

摘　　要：Γ函数与B函数是含参变量积分,它们统称为欧拉积分,在数学分析和概率统计中有着广泛的应用。本文系统论述了Γ函数与B函数的概念、性质、关系并给出了详细的证明,进而揭示出解决问题的关系和规律。Γ Function and B Function are integral with variable. They are collectively known as the Euler Integral with extensive application in Mathematical analysis and probability statistics. This paper discusses the concepts ,natures and relationships ofΓFunction and B Function, gives the detailed proofs and then reveals the relationship and rule to solve the problem.

关 键 词：Γ函数 B函数 含参变量积分 连续 收敛 发散 

分 类 号：O172.2[理学—数学]