  Let $n,p,k$ be three positive integers. We prove that the rational fractions
of $q$: $${n \brack k}_{q} {}_3\phi_{2} [ . {matrix}q^{1-k},q^{-p},q^{p-n}
q,q^{1-n} {matrix}| q;q^{k+1}]\quad\textrm{and}\quad q^{(n-p)p}\qbi{n}{k}{q}
{}_3\phi_2[ . {matrix}q^{1-k},q^{-p},q^{p-n} q,q^{1-n} {matrix}|q;q] $$ are
polynomials of $q$ with positive integer coefficients. This generalizes a
recent result of Lassalle (Ann. Comb. 6(2002), no. 3-4, 399-405), in the same
way as the classical $q$-binomial coefficients refine the ordinary binomial
coefficients.
