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WZ方法与一类由含参变量积分所定义的函数的定积分计算
WZ Method and the Calculation for Definite Integrals of Functions Defined by Integrals with Parameters
【摘要】 讨论了如何使用连续的WZ方法的有关结果来计算一类由含参变量积分所定义的函数g(x)=∫b(x)a(x)F(x,y)dy的定积分∫bag(x)dx(a与b可为有限数,也可为无穷),由此为计算一类累次积分提供了一种完全崭新的方法,这是一种完全算法化的方法.
【Abstract】 The calculating problem for the definite integrals such as ∫bag(x)dx is studied,where g(x)=∫b(x)a(x)F(x,y)dy is defined by integrals with parameters.Using some results of continuous WZ method,where a and b may be finite or infinite,a completely new method for calculating a kind of iterated integrals,which is an algorithmic method,is obtained.
【关键词】 WZ方法;
含参变量积分;
定积分;
【Key words】 WZ-method; definite integral with parameters; definite integral;
【Key words】 WZ-method; definite integral with parameters; definite integral;
- 【文献出处】 华南师范大学学报(自然科学版) ,Journal of South China Normal University(Natural Science Edition) , 编辑部邮箱 ,2012年02期
- 【分类号】O172.2
- 【被引频次】1
- 【下载频次】85