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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

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【作者】 宋占奎於全收燕嬿胡杰军

【Author】 SONG Zhan-kui,YU Quan-shou,YAN Yan,HUJie-jun(Section of Mathematics,Shiyan Vocational Technological College,Shiyan 442000,China)

【机构】 湖北十堰职业技术学院湖北十堰职业技术学院 湖北十堰442000湖北十堰442000

【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).

  • 【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
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