| 初值解在复变函数公式证明中的应用 |
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| 引用本文： | 崔伟业,王明霞.初值解在复变函数公式证明中的应用[J].齐齐哈尔大学学报(自然科学版),2004,20(3):85-89. |
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| 作者姓名： | 崔伟业 王明霞 |
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| 作者单位： | 齐齐哈尔大学理学院数学系,齐齐哈尔,161006 |
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| 摘 要： | 通过对复数域上二阶常系数线形齐次微分方程初值问题的求解，给出了复变双曲函数若干公式的一种新的证明方法。体现了微分方程与复变函数论的两个学科之间的密切关系．也体现了微分方程理论在解决其他数学分支问题中的重要作用。
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| 关 键 词： | 微分方程 复变函数 幂级数解法 存在唯一性定理 |
| 文章编号： | 1007-984X(2004)03-0085-05 |
| 修稿时间： | 2004年3月20日 |
Applying the differential equation′s problem of initial value to the proof of hyperbolic functions of the complex variable formula |
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| CUI Wei-ye WANG Ming-xia.Applying the differential equation′s problem of initial value to the proof of hyperbolic functions of the complex variable formula[J].Journal of Qiqihar University(Natural Science Edition),2004,20(3):85-89. |
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| Authors: | CUI Wei-ye WANG Ming-xia |
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| Abstract: | Inthis paper we offer a new method to prove formulae of hyperbolc function of the complex variable by solving initial value problem of homogeneous linear equating of the second order with constant coefficients. It show the confidential relations between differential equation and function of a complex variable, also show the differential equation, s important effect in solving problem of other mathematical branches. |
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| Keywords: | differential equation function of a complex variable power series solution existence and uniqueness of solution |
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