In his study of Ramanujan-Sato type series for 1/Ο, Sun introduced a
sequence of polynomials Snβ(q) as given by
Snβ(q)=k=0βnβ(knβ)(k2kβ)(nβk2(nβk)β)qk,
and he conjectured that the polynomials Snβ(q) are q-log-convex. By
imitating a result of Liu and Wang on generating new q-log-convex sequences
of polynomials from old ones, we obtain a sufficient condition for determining
the q-log-convexity of self-reciprocal polynomials. Based on this criterion,
we then give an affirmative answer to Sun's conjecture