余元公式的另类证法及其应用  

Offbeat Proof of Bicomplementray Formula and Its Application

作　　者：胡绍宗[1] 

机构地区：[1]阜阳师范学院数学系,安徽阜阳236041

出　　处：《大学数学》2013年第5期81-86,共6页College Mathematics

摘　　要：首先利用欧拉积分理论,证明余元公式的特殊情形.继而借助正弦函数的无穷乘积展开式及Γ函数定义,证明余元公式的一般情形.最后应用该公式,解决一些按通常方法不易计算的积分问题.At first, we use the theory of Euler integrals to prove special circumstances of Bicomplementray fromula and then with the help of infinite product expansion of sine function and the definition of Gamma function to prove general circumstances of Bicomplementray formula. Finally, we use the formula to solve some issues of integrals that can＇t be calculated easily according to the usual methods.

关 键 词：欧拉积分 Γ函数 无穷乘积 

分 类 号：O172.2[理学—数学]