Michael J. Schlosser
Inversion of bilateral basic hypergeometric series
(27 pages)
Abstract.
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 6Ψ6
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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