Lecture 43: Multiplication and Division of Power Series
Dan Sloughter Furman University Mathematics 39 May 20, 2004
43.1
Multiplication of power series
The following generalization of the power rule i
Lecture 42: Uniqueness of Series Representations
Dan Sloughter Furman University Mathematics 39 May 19, 2004
42.1
Uniqueness of Taylor series
Theorem 42.1. If f (z ) =
an (z z0 )n
n=0
for all z in an
Lecture 35: Taylor Series
Dan Sloughter Furman University Mathematics 39 May 5, 2004
35.1
Taylor series
Denition 35.1. If f is analytic at a point z0 C, we call the power series f (n) (z0 ) (z z0 )n n
Lecture 44: Residues
Dan Sloughter Furman University Mathematics 39 May 21, 2004
44.1
Some terminology
Recall that we say a point z0 is a singular point of a function f if f is not analytic at z0 but