  The "Diophantine" property of the zeros of certain polynomials in the Askey
scheme, recently discovered by Calogero and his collaborators, is explained,
with suitably chosen parameter values, in terms of the summation theorem of
hypergeometric series. Here the Diophantine property refers to integer valued
zeros. It turns out that the same procedure can also be applied to polynomials
arising from the basic hypergeometric series. We found, with suitably chosen
parameters and certain $q-$analogue of the summation theorems, zeros of these
polynomials explicitly, which are no longer integer valued. This goes beyond
the results obtained by the Authors mentioned above.
