摘要
设正整数n,m,r,非负整数b,a,利用r次单位根的性质,使用复数方法给出一类多重分割组合数有限和与正负相间多重分割组合数有限和用三角函数表示的计算公式,并给出系数为多重分割组合数的对偶三角函数有限和计算公式.
Let m,n,r be positive integers,b,a be nonnegative integer,use property of unit root of r times and method of complex function. The trigonometric fuctions are used to express the finite sum of a class of multi-partion combinations. The formula of finite sum of positive and negative multi-partition combinations is also presented by trigometric functions. And gives the finite sum of dual trig functions with coefficients of multi-partition involving combinatorial numbers.
出处
《河南教育学院学报（自然科学版）》
2017年第3期7-12,共6页
Journal of Henan Institute of Education(Natural Science Edition)
基金
宁夏自然科学基金项目(NZ12208)
银川能源学院科研基金项目(2015-KY-Y-49)
关键词
组合数
三角函数
单位根
多重分割
正负相间
有限和
combinatorial numbers
trigonometric function
unit root
multi-partition
alternated with positive and negative
finite sum
