**Abstract: **
We review briefly some results of the theory of
elliptic hypergeometric functions - a new class of
special functions of mathematical physics.
We outline general structure of these functions,
the elliptic beta integral (the most general
univariate exact integration formula generalizing
Euler's beta integral), an elliptic analogue of
the Gauss hypergeometric function, its relation
to the exeptional root system $E_7$, and the
elliptic hypergeometric equation. A general
survey of the subject is given here.