sum form i=1 to n(i^ma^i)解析求和公式的程序设计

The C Program on Summing Formula on sum form i=1 to n(i^ma^i)

对文献 [1 ]中解析求和公式 :∑ni=1imai=an∑mi=0(-1 ) iCimnm-iβi+ (-1 ) m+1βm,m =0 ,1 ,2 ,… ,利用TurboC语言 ,给出了原公式与解析求和公式及其系数的实用程序 ,解决了实际计算中的数据处理问题 ,同时验证了解析求和公式的正确性 .

This paper gives a Turbo C program of both the alalytic sum formula and coefficients for the alalytic sum formula in reference[1]:∑ni=1i ma i=a n∑mi=0(-1) iC i mn m-i β i+(-1) m+1 β m(m=0,1,2,…),and solves the problem of the date processing in actul use. Further,it verifies the correctness of the alalytic sum formula.