A. The magnitude of is . | ||
B. The principle argument of is . | ||
C. The magnitude of does not exceed . | ||
D. If , corresponds to a rotation of by an angle of . | ||
E. If , then corresponds to a dilation of by . |
A. Morera's theorem | ||
B. Cauchy's integral formula | ||
C. Poisson's integral representation | ||
D. Liouville's theorem | ||
E. Riemann mapping theorem |
A. is holomorphic on . | ||
B. is simply connected. | ||
C. is positively oriented and simple. | ||
D. The singularities lie inside . | ||
E. All of these choices are necessary. |