Complex Analysis/Cauchy's theorem, Cauchy's formulas and Morera's theorem

Cauchy's theoremEdit

Definition 5.1:

Let  . Then the triangle defined by   is defined to be the set

.

Lemma 5.2:

Let   and  .

Definition 5.3:

Let  . We call   starshaped if and only if there exists a   such that

 .

Theorem 5.4:

Cauchy's formulasEdit

Morera's theoremEdit