  This survey is a collection of various results and formulas by different
authors on the areas (integrals) of five related processes, viz.\spacefactor
=1000 Brownian motion, bridge, excursion, meander and double meander; for the
Brownian motion and bridge, which take both positive and negative values, we
consider both the integral of the absolute value and the integral of the
positive (or negative) part. This gives us seven related positive random
variables, for which we study, in particular, formulas for moments and Laplace
transforms; we also give (in many cases) series representations and asymptotics
for density functions and distribution functions. We further study Wright's
constants arising in the asymptotic enumeration of connected graphs; these are
known to be closely connected to the moments of the Brownian excursion area.
The main purpose is to compare the results for these seven Brownian areas by
stating the results in parallel forms; thus emphasizing both the similarities
and the differences. A recurring theme is the Airy function which appears in
slightly different ways in formulas for all seven random variables. We further
want to give explicit relations between the many different similar notations
and definitions that have been used by various authors. There are also some new
results, mainly to fill in gaps left in the literature. Some short proofs are
given, but most proofs are omitted and the reader is instead referred to the
original sources.
