摘要
设shx,chx和sinβ,cosβ是双曲正、余弦函数和三角函数,用发生函数的方法得到双曲正,余弦函数方幂与等比序列乘积之和sum (dksh'kx)from k=0 to n ,sum (dkch'kx)from k=0 to n 和双曲正、余弦函数带有三角函数方幂sum (sh'kxsinkβ)from k=0 to n,sum (sh'kxcoskβ)from k=0 to n的计算公式.
Let shx and chx be hyperbolic function,simβ,cosβ be trigonometric function,complex number d≠0.The sum power of hyperbolic function and equal ratios sequence product sum （dksh＇kx）from k=0 to n ,sum （dkch＇kx）from k=0 to n and hyperbolic function with trigonometric function sum （sh＇kxsinkβ）from k=0 to n,sum （sh＇kxcoskβ）from k=0 to n are discussed,the calculation formulas are given by the method of generating function.
出处
《纺织高校基础科学学报》
CAS
2011年第2期246-249,共4页
Basic Sciences Journal of Textile Universities
基金
银川大学科研基金项目(2009081-4)
关键词
双曲函数
三角函数
等比序列
形式幂级数
发生函数
hyperbolic function
trigonometric function
equal ratios
formal power series
generating function
