Abstract

In this paper, we derive two most general possible q-hypergeometric expansion formulae for 12 Φ 11( q) and r Φ s ( z), respectively. The results are unique in the sense that no such results are available in the literature beyond 4 Φ 3( q) so far and have the advantage that these results are also applicable to the top-level 10 Φ 9( q) biorthogonal rational functions.

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