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Beta-Gamma函数对余元公式的推导与实现
Realization and Demonstration of Odd Element Formula by Beta-Gamma Function
【摘要】 对构造的公式①,在复数域将其被积函数分解得2n个复根.在实数域将其实虚部积分取极限获证.对构造的公式②,由①将其被积函数的连续性、收敛性及一致收敛性与构造的有理数列用变量替换代入取极限获证.再由①与②应用Gamma-Beta函数的另一形式及(3),得到了余元公式的实现.
【Abstract】 For constructed formula ①,and make integrand (formula) in complex field decompose into 2n times complexroots,and make real and imaginary part in real number field integrate and then obtain the limit,presenting constructed formula ②.And make the continuity,astringency,uniform convergence and constructed rational line of integrand (formula) fromthe result ① arrange firstly into various variable quantities,replace and substitute each one.Secondly,obtainthe limit.Another wayfromthe result ①,② each appliedinto Gamma-Beta Function,and obtain the realization of Odd Element Formula by using another way and the result (3).
【Key words】 continuation; convergence; real number field; complex field; uniformconvergence; rational line; Beta Function; Gamma Function; Odd Element formula;
- 【文献出处】 陕西教育学院学报 ,Journal of Shaanxi Institute of Education , 编辑部邮箱 ,2007年04期
- 【分类号】O174.5
- 【被引频次】3
- 【下载频次】386