| 伽玛函数的高精度二次曲线逼近 |
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| 引用本文： | 赵晓慎. 伽玛函数的高精度二次曲线逼近[J]. 华北水利水电学院学报, 2006, 27(3): 1-4 |
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| 作者姓名： | 赵晓慎 |
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| 作者单位： | 华北水利水电学院,河南郑州450011 |
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| 摘 要： | 对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究,提出了一种新的数值逼近方法,在一定范围内对伽玛函数用圆锥曲线表示,利用递推公式扩大参数范围,免去了数值积分和用级数展开计算的麻烦.程序运行结果表明:该方法能大大提高计算精度和运行速度,在水利工程设计中具有较大的使用价值.
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| 关 键 词： | 皮尔逊Ⅲ型曲线 伽玛函数 函数逼近 圆锥曲线 高精度 |
| 文章编号： | 1002-5634（2006）03-0001-04 |
| 收稿时间： | 2006-03-02 |
| 修稿时间： | 2006-05-20 |
High Precision Approximation of Gamma Function by Using Cone Curve |
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| ZHAO Xiao-shen. High Precision Approximation of Gamma Function by Using Cone Curve[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power, 2006, 27(3): 1-4 |
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| Authors: | ZHAO Xiao-shen |
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| Affiliation: | North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011 ,China |
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| Abstract: | The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.The program test shows the method not only guarantees a high degree of accuracy but also very high calculating speed.Consequently,the method is of great value in hydraulic engineering. |
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| Keywords: | Pearson type III distribution gamma function function approximation cone curve high degree of accuracy |
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