Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11311
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Conflitti, Alessandro | - |
dc.contributor.author | Schlosser, Michael J. | - |
dc.date.accessioned | 2009-09-07T14:42:02Z | - |
dc.date.available | 2009-09-07T14:42:02Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Pré-Publicações DMUC. 07-01 (2007) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11311 | - |
dc.description.abstract | Recently, J. A. Tirao [Proc. Nat. Acad. Sci. 100 (14) (2003), 8138–8141] considered a matrix-valued analogue of the 2F1 Gauß hypergeometric function and showed that it is the unique solution of a matrix-valued hypergeometric equation analytic at z = 0 with value I, the identity matrix, at z = 0. We give an independent proof of Tirao’s result, extended to the slightly more general setting of hypergeometric functions over an abstract unital Banach algebra. We provide a similar (but more complicated-looking) result for a second type of noncommutative 2F1 Gauß hypergeometric function. | en_US |
dc.description.sponsorship | CMUC; FWF Austrian Science Fund grant P17563–N13; FWF Austrian Science Fund grant P17563–N13; FWF, S9607 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Noncommutative hypergeometric series | en_US |
dc.subject | Hypergeometric equation | en_US |
dc.title | On the noncommutative hypergeometric equation | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.grantfulltext | open | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.fulltext | Com Texto completo | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-3470-5178 | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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On the noncommutative hypergeometric equation.pdf | 110.57 kB | Adobe PDF | View/Open |
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