- #1

- 7

- 0

Will anybody please tell me what is the statement of the "Uniqueness theorem" in Complex analysis??

- Thread starter matheater
- Start date

- #1

- 7

- 0

Will anybody please tell me what is the statement of the "Uniqueness theorem" in Complex analysis??

- #2

nicksauce

Science Advisor

Homework Helper

- 1,272

- 5

- #3

- 7

- 0

I have the sum:

Let f:C-->C be analytic s.t f(1/n)=1/n^2,n=1,2,3........

Then(out of 4 ans i am giving the correct one)f(z)=z^2 for all z in C

The solution is done as follows:

Let g(z)=z^2 for all z in C.Then f(z)=g(z) for all z in {1/n :n=1,2,3.}.since {1/n :n=1,2,3.} is an infinite set having a limit point "0",so by "uniqueness theorem" f(z)=g(z) for all z in C.

Here i want to have the statement of this Uniqueness theorem...

- Last Post

- Replies
- 1

- Views
- 5K

- Last Post

- Replies
- 1

- Views
- 6K

- Last Post

- Replies
- 11

- Views
- 2K

- Last Post

- Replies
- 5

- Views
- 6K

- Last Post

- Replies
- 7

- Views
- 1K

- Last Post

- Replies
- 28

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 5K

- Last Post

- Replies
- 2

- Views
- 2K

- Replies
- 4

- Views
- 4K