We give a survey of elliptic hypergeometric functions associated with root
systems, comprised of three main parts. The first two form in essence an
annotated table of the main evaluation and transformation formulas for elliptic
hypergeometric integeral and series on root systems. The third and final part
gives an introduction to Rains' elliptic Macdonald-Koornwinder theory (in part
also developed by Coskun and Gustafson).Comment: 28 pages. Modulo minor edits this paper will appear as a chapter in
the book "Multivariable Special Functions" (edited by Tom Koornwinder and
Jasper Stokman) which is part of the Askey-Bateman project. This version:
essential correction of equation (1.2.14) and some further minor correction
