序号

图形表示

保形映射

①

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

②

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

③

$\omega ={\text{e}}^{i\beta }R{\left(\frac{{\left({\text{e}}^{-i\theta }z\right)}^{\frac{\pi }{2\alpha }}-1}{{\left({\text{e}}^{-i\theta }z\right)}^{\frac{\pi }{2\alpha }}+1}\right)}^{\frac{\gamma }{\pi }}+\left(m+ni\right)$