- 相關(guān)推薦
復(fù)變函數(shù)的洛必達(dá)法則論文
無論在學(xué)習(xí)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(xué)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(fù)變函數(shù)的洛必達(dá)法則論文，歡迎閱讀與收藏。
摘要：
本文通過對數(shù)學(xué)分析中洛必達(dá)法則相關(guān)定理的分析，將實數(shù)域中的洛必達(dá)法則推廣到復(fù)數(shù)域中，得到復(fù)變函數(shù)的洛必達(dá)法則．首先給出并證明復(fù)變函數(shù)中洛必達(dá)法則的相關(guān)定理及推論，從而使復(fù)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(fù)變函數(shù)中洛必達(dá)法則的應(yīng)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(dá)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
【復(fù)變函數(shù)的洛必達(dá)法則論文】相關(guān)文章：
論文發(fā)表10大黃金法則03-27
凸函數(shù)的基本性質(zhì)及應(yīng)用論文07-04
論文發(fā)表的十大黃金法則12-03
弗里達(dá)·卡洛畫中動植物元素的精神內(nèi)涵05-27
構(gòu)造函數(shù)與析構(gòu)函數(shù)11-22