復變函數(shù)的洛必達法則論文

復變函數(shù)的洛必達法則論文

　　無論在學習或是工作中，大家總少不了接觸論文吧，通過論文寫作可以培養(yǎng)我們的科學研究能力。相信寫論文是一個讓許多人都頭痛的問題，下面是小編幫大家整理的復變函數(shù)的洛必達法則論文，歡迎閱讀與收藏。

　　摘要：

　　本文通過對數(shù)學分析中洛必達法則相關(guān)定理的分析，將實數(shù)域中的洛必達法則推廣到復數(shù)域中，得到復變函數(shù)的洛必達法則．首先給出并證明復變函數(shù)中洛必達法則的相關(guān)定理及推論，從而使復變函數(shù)中不定式的極限問題變得容易解決．接著從兩個主要方面討論復變函數(shù)中洛必達法則的應用：孤立奇點的判定和求解析函數(shù)在孤立奇點處的留數(shù)．

　　關(guān)鍵詞：洛必達法則；不定式；解析函數(shù)；孤立奇點

　　The Law of LHospital in Complex Functions

　　ABSTRACT

　　The paper get the law of LHospital in complex functions through earnestly analysing correlative theorems of the law of LHospital in the mathematic analysis, as a result, the law of LHospital was extended to the complex number field. Firstly, the related theorems and the deduction of the law of LHospital in complex functions were given and proved in this article. It causes function limit to change easily to solve in complex functions. Then we elaborate two applications of the law of LHospital in complex functions, namely, the isolated points classification and residues calculation for the isolated singularity.

　　Key word: The law of LHospital; Function limit; Analytic function; Isolated singularity

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