Extension of Bressoud's generalization of Borwein's conjecture and some exact results

In this paper, we conjecture an extension to Bressoud's 1996 generalization of Borwein's famous 1990 conjecture. We then state two infinite hierarchies of non-negative q-series identities which are interesting and elegant examples of our proposed conjecture and Bressoud's generalized conjecture respectively. Finally, using certain positivity-preserving transformations for q-binomial coefficients, we prove the non-negativity of the two infinite families.