Beta函数及其偏导数在积分运算中的应用  

作　　者：刘国兴 

机构地区：[1]齐鲁医药学院公共教学部,山东淄博255213

出　　处：《科技资讯》2018年第13期183-184,共2页Science & Technology Information

摘　　要：Beta函数和Gamma函数是特殊函数中两类非常重要的函数,在许多领域都具有重要的作用。Beta函数和Gamma函数有着密切的联系。文章讨论了Beta函数和Gamma函数的一般性质,讨论了Beta函数偏导数的有关性质。由于Beta函数和Gamma函数有多种形式的积分表示,Beta函数及其偏导数在定积分、广义积分的计算上具有重要的应用,文章对于Beta函数及其偏导数在积分运算中的应用进行了研究。Beta functions and gamma functions are two very important functions in special functions, which play an important role in many f ields. Beta functions are closely related to gamma functions. The article discusses the general properties of Beta functions and Gamma functions, and discusses Beta. The related properties of partial derivatives of functions. Because Beta functions and Gamma functions have multiple forms of integral representation, Beta functions and their partial derivatives have important applications in the calculation of def inite integrals and generalized integrals. The article is about Beta functions and their partial derivatives. The application in the integral operation has been studied.

关 键 词：BETA函数 Psi函数 GAMMA函数 

分 类 号：O174.6[理学—数学]