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.openairetype | preprint | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
On the noncommutative hypergeometric equation.pdf | 110.57 kB | Adobe PDF | View/Open |
Page view(s)
193
checked on Jul 16, 2024
Download(s)
81
checked on Jul 16, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.