序号

图形表示

保形映射

①

$\omega =\frac{{\text{e}}^{0}R\left({\text{e}}^{-\frac{\pi }{2}i}z-1\right)}{{\text{e}}^{-\frac{\pi }{2}i}z+1}$

②

$\omega =\frac{{\text{e}}^{\frac{\pi }{2}i}R\left({\text{e}}^{-\frac{\pi }{2}i}z-1\right)}{{\text{e}}^{-\frac{\pi }{2}i}z+1}$

③

$\omega =\frac{{\text{e}}^{\pi i}R\left({\text{e}}^{-\frac{\pi }{2}i}z-1\right)}{{\text{e}}^{-\frac{\pi }{2}i}z+1}$

④

$\omega =\frac{{\text{e}}^{-\frac{\pi }{2}i}R\left({\text{e}}^{-\frac{\pi }{2}i}z-1\right)}{{\text{e}}^{-\frac{\pi }{2}i}z+1}$