  The Hankel determinant appears in the representation of solutions to several
integrable systems. Asymptotic expansion of the Hankel determinant thus plays a
key role for investigating asymptotic analysis of such integrable system. In
this paper, an asymptotic expansion formula of a certain Casorati determinant
is presented as an extension of the Hankel case. It is also shown that an
application of it to an asymptotic analysis of the discrete hungry
Lotka-Volterra system, which is one of basic models in mathematical biology.
