- Show explicitly whether or not the following functions are analytic by checking the Cauchy-Riemann equations:
a) b) c)

- State why the function
is entire.

- Is the function
analytic? Show why or why not.

- Show explicitly that
.

- Let
be analytic in
. Show that

- For each given function, find a harmonic conjugate:
a)
; b)
.

Andrew L. Belmonte 2005-02-07