Inversion of bilateral basic hypergeometric series

Details Inversion of bilateral basic hypergeometric series Inversion of bilateral basic hypergeometric series

2002-06-05

arxiv.org/abs/math/0206032v1

Electron. J. Combin. 10 (2003), #R10, 27 pp.

Mathematics

Classical Analysis and ODEs

AMS-LaTeX, 23 pages

Scientific paper

We present a new matrix inverse with applications in the theory of bilateral basic hypergeometric series. Our matrix inversion result is directly extracted from an instance of Bailey's very-well-poised 6-psi-6 summation theorem, and involves two infinite matrices which are not lower-triangular. We combine our bilateral matrix inverse with known basic hypergeometric summation theorems to derive, via inverse relations, several new identities for bilateral basic hypergeometric series.

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