Inversion of bilateral basic hypergeometric series

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dc.creatorSchlosser, Michael
dc.date2002-06-05
dc.date.accessioned2026-07-07T06:31:20Z
dc.date.available2026-07-07T06:31:20Z
dc.descriptionWe 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.
dc.descriptionAMS-LaTeX, 23 pages
dc.identifierhttps://arxiv.org/abs/math/0206032
dc.identifierhttp://arxiv.org/abs/math/0206032
dc.identifierElectron. J. Combin. 10 (2003), #R10, 27 pp.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98574
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subject33D15; 15A09
dc.titleInversion of bilateral basic hypergeometric series
dc.typetext

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