THE METHOD OF DIFFERENTIATING UNDER THE INTEGRAL SIGN

被引:76
作者
ALMKVIST, G [1 ]
ZEILBERGER, D [1 ]
机构
[1] TEMPLE UNIV,DEPT MATH & COMP SCI,PHILADELPHIA,PA 19122
关键词
D O I
10.1016/S0747-7171(08)80159-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A method is developed to find a differential equation satisfied by the integral R(x)= ∫ −∞∞ F(x,y)dy. Given the holonomic function F(x, y) the computer finds the differential equation for R(x). A continuous version of the second author's “proof machine” for proving hypergeometric identities is used. © 1990, Academic Press Limited. All rights reserved.
引用
收藏
页码:571 / 591
页数:21
相关论文
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