MHB Problems for Cauchy Integral Formula

shirokuma
Messages
1
Reaction score
0
Hello everyone!
I am currently stuck at the two type of questions below, because I am not really sure what method should be used to calculate these question...
Could you give me a hint how to do these questions? :(
View attachment 8449View attachment 8450
 

Attachments

  • 42915215_171695103717337_4243462816985513984_n.jpg
    42915215_171695103717337_4243462816985513984_n.jpg
    20.9 KB · Views: 168
  • 43241561_942734292587763_8988574515608944640_n.jpg
    43241561_942734292587763_8988574515608944640_n.jpg
    21.7 KB · Views: 158
Physics news on Phys.org
Welcome, Shirokuma!

Consider using partial fraction decomposition. You might need to use Cauchy's differentiation formula at some points.
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
View full post »

Similar threads

I On a remark regarding the Cauchy integral formula
Replies
2
Views
3K
I Intuition - Cauchy integral theorem
Replies
4
Views
4K
MHB How to use cauchy integral formula
Replies
4
Views
2K
MHB Using Cauchy Integral Formula for Laurent Series Coefficients
Replies
2
Views
2K
MHB Cauchy Integral Theorem with partial fractions
Replies
2
Views
3K
MHB Complicated integration of complex number
Replies
11
Views
3K
MHB Proof of Cauchy Integral formula
Replies
4
Views
2K
Complex Integration Along Given Path
Replies
3
Views
2K
What is the Cauchy Product Formula in Power Series?
Replies
1
Views
2K
I Can Cauchy's Integral Formula be Used for Non-Analytic Functions?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top