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Expansion formulas for multiple basic hypergeometric series over root systems

, Surbhi Rai
Published in Elsevier
2022
Volume: 137
   
Abstract

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 An and Cn Bailey transformation and other summation theorems due to Gustafson, Milne, Milne and Lilly, and others, from the theory of An, Cn and Dn basic hypergeometric series.

About the journal
JournalData powered by TypesetAdvances in Applied Mathematics
PublisherData powered by TypesetElsevier
Open AccessNo