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| 关于p-adic变量函数的微分 | |
| 引用本文： | 崔明根,高广宏,郑弼雄. 关于p-adic变量函数的微分[J]. 黑龙江大学自然科学学报, 2003, 20(1): 14-17 |
| 作者姓名： | 崔明根 高广宏 郑弼雄 |
| 作者单位： | 1. 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 2. 江原道大学数学系,韩国 |
| 摘 要： | 给出了p-adic变量p-adic值函数及p-adic变量实值函数的导数定义,将黎曼积分中下列公式推广到p-adic积分中去(1)有限增量公式;(2)积分变量替换公式;(3)微分链导法则. |
| 关 键 词： | p-adic数域 p-adic参量化 微分 积分 |
On the differentiation of a function of p- adic variable |
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| Abstract. On the differentiation of a function of p- adic variable[J]. Journal of Natural Science of Heilongjiang University, 2003, 20(1): 14-17 | |
| Authors: | Abstract |
| Abstract: | The definitions for p - adic variables, p - adic valued functions and the derivatives of real val-ued functions of p- adic variables are given, and the following formulas for Riemann integrals to the corresponding p-adic integrals are generalized: ① formula of finite increment, ② formula of change of variables in integral, ③ formula of chain rule for differetiation. |
| Keywords: | p-adic number field p - adic paramatrization differentiation integral |
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