Reduction formulae for Karlsson-Minton type hypergeometric functions

Simple item page
dc.creatorRosengren, Hjalmar
dc.date2002-02-22
dc.date2002-05-10
dc.date.accessioned2026-07-07T06:21:50Z
dc.date.available2026-07-07T06:21:50Z
dc.descriptionWe prove a master theorem for hypergeometric functions of Karlsson-Minton type, stating that a very general multilateral U(n) Karlsson-Minton type hypergeometric series may be reduced to a finite sum. This identity contains the Karlsson-Minton summation formula and many of its known generalizations as special cases, and it also implies several "Bailey-type" identities for U(n) hypergeometric series, including multivariable 10-W-9 transformations of Milne and Newcomb and of Kajihara. Even in the one-variable case our identity is new, and even in this case its proof depends on the theory of multivariable hypergeometric series.
dc.description21 pages; substantial additions compared to previous version
dc.identifierhttps://arxiv.org/abs/math/0202232
dc.identifierhttp://arxiv.org/abs/math/0202232
dc.identifierConstr. Approx. 20 (2004), 525-548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95728
dc.subjectClassical Analysis and ODEs
dc.subject33D15, 33D67
dc.titleReduction formulae for Karlsson-Minton type hypergeometric functions
dc.typetext

Files

Collections

arXiv