  We construct new elliptic solutions of the restricted Toda chain. These
solutions give rise to a new explicit class of orthogonal polynomials which can
be considered as a generalization of the Stieltjes-Carlitz elliptic
polynomials. Relations between characteristic (i.e. positive definite)
functions, Toda chain and orthogonal polynomials are developed in order to
derive main properties of these polynomials. The recurrence coefficients and
the weight function of these polynomials are expressed explicitly. In the
degenerated cases of the elliptic functions the modified Meixner polynomials
and the Krall-Laguerre polynomials appear.
