- #1

- 22

- 0

- Thread starter variety
- Start date

- #1

- 22

- 0

- #2

- 179

- 4

- #3

- 392

- 0

Thm M1: If [tex]\int_T f=0[/tex] for every triangular path in G, then f is analytic on G.

Thm M2: If [tex]\int_{\Gamma} f=0[/tex] for every simple closed path [tex]\Gamma[/tex] in G, then f is analytic on G.

variety, you asked how to go from Thm M1 to Thm M2. But if you know Thm M1 is true, isn't Thm M2 a trivial corollary? (If the integral is zero for every simple closed path, then the integral is certainly 0 for every triangular path.)

- Last Post

- Replies
- 1

- Views
- 943

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 3

- Views
- 2K

- Last Post

- Replies
- 5

- Views
- 2K

- Last Post

- Replies
- 14

- Views
- 2K

- Last Post

- Replies
- 11

- Views
- 3K

- Replies
- 8

- Views
- 2K

- Replies
- 2

- Views
- 1K

- Replies
- 3

- Views
- 3K

- Replies
- 6

- Views
- 3K