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Expansion formulas for multiple basic hypergeometric series over root systems
We extend expansion formulas of Liu given in 2013 to the context of multiple series over root systems. Liu and others have shown the usefulness of these formulas in Special Functions and number-theoretic contexts. We extend Wang and Ma's generalizations of Liu's work which they obtained using q-Lagrange inversion. We use the and Bailey transformation and other summation theorems due to Gustafson, Milne, Milne and Lilly, and others, from the theory of , and basic hypergeometric series.
Journal | Data powered by TypesetAdvances in Applied Mathematics |
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Publisher | Data powered by TypesetElsevier |
Open Access | No |