Table 2:
Behaviour with respect to the second property, consequences on the map
𝐳
↦
𝐱
and corresponding constraints on the poles
𝐳
1
,
𝐳
2
.
Kind
𝐱
(
𝒜
)
Position of
𝒞
⋆
Constraints on
𝐳
1
,
𝐳
2
1
Inside
𝑃
Internal to
𝒞
One inside and one outside
𝒞
External to
𝒞
Both inside
𝒞
2
Outside
𝑃
Internal to
𝒞
Both outside
𝒞
External to
𝒞
One inside and one outside
𝒞