[複變] 幾題證明
1. If γ is the vertical line segment from z=R(R>0) to z=R+2πi, then
| 3z | 3R
| e | 2πe
|∫ --------dz|≦ ---------
| γ z | R
| 1 + e | e - 1
2. If γ is the arc of the circle |z|=1 that lies in the first quadrant, then
| | 2
| | π
|∫ logzdz|≦ ---
| γ | 4
| |
3. If γ is the line segment from z=0 to z=i, then
| |
| sinz |
|∫ e dz|≦1
| γ |
| |
拜託各位高手了
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