  We give an overview of some of the main results from the theories of
hypergeometric and basic hypergeometric series and integrals associated with
root systems. In particular, we list a number of summations, transformations
and explicit evaluations for such multiple series and integrals. We concentrate
on such results which do not directly extend to the elliptic level. This text
is a provisional version of a chapter on hypergeometric and basic
hypergeometric series and integrals associated with root systems for volume 2
of the new Askey--Bateman project which deals with "Multivariable special
functions".
