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| 摘要: |
| 设shx，shx是双曲正，余弦函数，用发生函数的方法得到正负相间双曲正，余弦函数方幂与等比序列乘积之和：Σ(-1)kdkshrkx，∑（-1）kdkchrkx和正负相间双曲正，余弦函数方幂与三角函数乘积和∑（-1）kshrkxsinkβ，∑（-1）kshrkxcoskβ. |
| 关键词: 双曲函数 三角函数 等比函数 形式幂级数 发生函数 |
| DOI： |
| 分类号: |
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| Power Sum Alternated with Positive and Negative of Hyperbolic Function |
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JI Wan-hui,YANG Chun-yan
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| Abstract: |
| Let shx and chx be hyperbolic sine function and cosine function,the calculation formula Σ(-1)kdkshrkx，∑（-1）kdkchrkx,which are the product sum of the power alternated with positive and negative of hyperbolic sine function and cosine function and geometrical sequence,as well as teh formula ∑（-1）kshrkxsinkβ，∑（-1）kshrkxcoskβ,which are the product sum of the power alternated with positive and negative of hyperbolic sine function and cosine function and trigonometric function,are obtaained by function-generating method. |
| Key words: hyperbolic function trigonometric function geometrical sequence formal power series generating function |
