complex analysis

2. a region is----------- if its complement with respect to the extended plane is connected.
7. f(a)=1/2pi∫f(z)dz/(z-a)
8. if f(z) is analytic & non-constant in a region Ω, then its absolute value |f(z)| has no maximum in Ω.

1. the limit point of the zeros is an ------- unless the function is identically zero.
3. if f(z) is defined & continuous in a region Ω, & if ∫fdz=0 for all closed curves γ in Ω, then f(z) is analytic.
4. a chain is a ------ if it can be represented as a sum of closed curves.
5. a function f(z) which is analytic in a region Ω,except for poles, is said to be------in Ω.
6. if γ lies inside of a circle, then n(γ,a)=---- for all points 'a' outside the same circle.