序号

图形表示

保形映射

①

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

②

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

③

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