Application of Cauchy's Theorem. Flashcards
1
Q
Define a power series.
A
2
Q
If the following power series converges in D(a,r) what does this imply?
A
3
Q
What is the Cauchy-Taylor Theorem.
A
4
Q
What is a corollary to the following theorem.
A
5
Q
What is Cauchy’s Integral Formula for derivatives theorem.
A
6
Q
What is Morea’s theorem?
A
7
Q
What is Liouville’s theorem.
A
8
Q
What is the fundamental theorem of algebra?
A
9
Q
What is the local maximum modulus principle theorem?
A
10
Q
What is the maximum modulus principle theorem?
A
11
Q
Define zero of order m at a.
A
12
Q
What is the principle of isolated zeroes proposition?
A
13
Q
What is the uniqueness of analytic continuation theorem?
A
14
Q
Define a non-isoalted point of S.
A
15
Q
What is the identity theorem?
A
