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1、西南科技大学大学本科理科数学类专业课程第五章 解析函数的罗朗展式v一、双边幂级数v二、解析函数的罗朗展式v三、解析函数的孤立奇点及其分类v四、解析函数在无穷远点的性质Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 As
2、pose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数12007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程第一节、解析函数的
3、洛朗展式v1、定义形如被称为关于的双边幂级数。一、双边幂级数Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created
4、 with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数22007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程则有在H内绝对收敛且内闭一致收敛于在H内逐项求导p次，p=1,2,2、性质定理5.1 设双边幂级数的收敛圆环为Evaluat
5、ion only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Clie
6、nt Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数32007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程rRp展开式是唯一的可展开成双边幂级数（关于即其中若则二、定理5.2(Laurent定理)(*)Evaluation only.Evaluation only. Created with Aspos
7、e.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slide
8、s for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数42007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程注：（1）若在内能展开成Laurent级数;*（3）若则展开式必为如下形式：表示成（4）展开法-根据展开式唯一，只须将(*)即为Laurent展开式。（2）Taylor级数与Laurent级数的关系;Evaluation only.Evaluation only. Created wi
9、th Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspo
10、se.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数52007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程（1）（2）解：例1.求函数在下列区域内的罗朗展式（1） 在内解析 内可展开成罗朗级数，即在Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5
11、.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
12、 Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数62007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程在在（1） 内解析 内可展开成罗朗级数，即Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
13、Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.
14、课程名称：复变函数72007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程同理可得Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Ev
15、aluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.课程名称：复变函数82007.09.01 主讲教师：卢 谦西南科技大学大学本科理科数学类专业课程其级数形式为令则（2）在内解析在内可展成罗朗级，Evaluation only.
16、Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2
