7. Complex Analysis Flashcards
1
Q
Definition 7.5
Complex differentiable.
Cauchy-Reimann equations.
A
2
Q
Definition 7.6
Analytic (or holomorphic)
Entire.
A
3
Q
Theorem 7.7
f is complex diff. at z \in \Omega open iff.
A
4
Q
Theorem 7.11
Ratio Test
A
5
Q
Theorem 7.12
Root Test
A
6
Q
Theorem 7.14
Formula for radius of convergence
A
7
Q
Theorem 7.15
For all |z| < R.O.C., f(z) is…
A
8
Q
Corolary 7.16
if R.O.C. > 0 then f(z) = …
A
9
Q
Theorem 7.17
for all r < R with R > 0 f_k = \sum a_n z^n does what
A
10
Q
Definition 7.18
exponential, hyperbolic and trig complex sums.
A
11
Q
Proposition 7.19
exponential form of trig and hyperbolic functions
A
12
Q
Theorem 7.20
Propoerties of the complex exponential
A
13
Q
mod-arg form
A
14
Q
Proposition 7.21
Propoerties of the argument
A
15
Q
Principal value
A
