  For a positive definite integral ternary quadratic form $f$, let $r(k,f)$ be
the number of representations of an integer $k$ by $f$. The famous
Minkowski-Siegel formula implies that if the class number of $f$ is one, then
$r(k,f)$ can be written as a constant multiple of a product of local densities
which are easily computable. In this article, we consider the case when the
spinor genus of $f$ contains only one class. In this case the above also holds
if $k$ is not contained in a set of finite number of square classes which are
easily computable (see, for example, \cite{sp1} and \cite {sp2}). By using this
fact, we prove some extension of the results given in both \cite {cl} on the
representations of generalized Bell ternary forms and \cite {be} on the
representations of ternary quadratic forms with some congruence conditions.
