陈奕俊. WZ方法与由一类含参变量积分所定义的函数的定积分计算[J]. 华南师范大学学报(自然科学版), 2012, 44(2).
引用本文: 陈奕俊. WZ方法与由一类含参变量积分所定义的函数的定积分计算[J]. 华南师范大学学报(自然科学版), 2012, 44(2).
chen yijun. WZ Method and the Calculation for Definite Integrals of Functions defined by Integrals with parameters[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
Citation: chen yijun. WZ Method and the Calculation for Definite Integrals of Functions defined by Integrals with parameters[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).

WZ方法与由一类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方法中的有关结果来计算一类由含参变量积分所定义的函数 的定积分问题 ( 与 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 problem of evaluating the definite integrals such as is studied, where is defined by integrals with parameters. Using some results of continuous WZ method, where and may be finite or infinite, a completely new method is obtained for evaluating a kind of iterated integrals which is an algorithmic method.

     

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