  We prove a formula expressing a general n by n Toeplitz determinant as a
Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the
kernel K admits an integral representation in terms of the symbol of the
original Toeplitz matrix.
  The proof is based on the results of one of the authors, see math.RT/9907127,
and a formula due to Gessel which expands any Toeplitz determinant into a
series of Schur functions.
  We also consider 3 examples where the kernel involves the Gauss
hypergeometric function and its degenerations.
