Michael J. Schlosser
Hypergeometric and basic hypergeometric series
and integrals associated with root systems
(39 pages)
Abstract.
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''.
The following version is available:
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