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Nonnegativity of q-hypergeometric series

In this paper (https://arxiv.org/abs/1905.06815) there is a similar 4-phi-3 nonnegativity statement which in fact can be utilized to get the nonnegativity of the function in question. In Proposition A …
Leonid Petrov's user avatar
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Nonnegativity of q-hypergeometric series

What are methods for proving nonnegativity of q-hypergeometric functions? Specifically, I have a function of the type 4-phi-3, it is a terminating series: $$ {}_{4}\phi_3\left(\begin{matrix} q^{-i_1}, …
Leonid Petrov's user avatar