奇点、留数、利用留数计算积分 Flashcards

1
Q

留数章节的主要内容是什么?

A
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2
Q

Def:孤立奇点、可去奇点、m阶奇点、本性奇点是什么?

A
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3
Q

Def: 留数的定义是什么?

A
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4
Q

Eg. 可去奇点如何求留数?(洛朗展开法)

A
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5
Q

m阶奇点如何求留数?两种方法

A
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6
Q

Eg. m阶奇点如何求留数?(两种方法)

A
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7
Q

留数基本定理的推论是什么?有什么用

A

用于求本性奇点

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8
Q

Eg. 本性奇点求留数

A
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9
Q

Sum:求留数有什么方法?

A
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10
Q

利用留数计算定积分有什么公式?

A
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11
Q

Eg. 留数计算定积分:无穷到无穷

A
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12
Q

Eg. 留数计算定积分:无穷到无穷, 分子有三角函数

A
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