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AuthorRöscheisen, Claudiadc.contributor.author
Date of accession2016-03-14T15:20:08Zdc.date.accessioned
Available in OPARU since2016-03-14T15:20:08Zdc.date.available
Year of creation2009dc.date.created
AbstractThis thesis is about the hypergeometric system of differential equations. Until now, fundamental solutions for this system are just known in dimension 2 and very special cases in higher dimension. In dimension 2 it is solvable with the hypergeometric function. Under some assumptions there exist characteristic constants for the system and in dimension 2 they can be represented by means of the Gamma function. In this work the solutions and constants of a hypergeometric system have been considered as power series in a newly introduced parameter. Furthermore, two sequences of functions have been introduced and analyzed and the coefficients of the power series have been expressed in terms of these functions.dc.description.abstract
Languageendc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseStandard (Fassung vom 01.10.2008)dc.rights
Link to license texthttps://oparu.uni-ulm.de/xmlui/license_v2dc.rights.uri
KeywordSystems of differential equationsdc.subject
Dewey Decimal GroupDDC 510 / Mathematicsdc.subject.ddc
LCSHHypergeometric functionsdc.subject.lcsh
TitleOn hypergeometric systems of differential equationsdc.title
Resource typeDissertationdc.type
DOIhttp://dx.doi.org/10.18725/OPARU-1087dc.identifier.doi
PPN595727468dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-vts-67587dc.identifier.urn
GNDDifferentialgleichungssystemdc.subject.gnd
GNDHypergeometrische Differentialgleichungdc.subject.gnd
FacultyFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
Date of activation2009-03-25T14:25:15Zuulm.freischaltungVTS
Peer reviewneinuulm.peerReview
Shelfmark print versionZ: J-H 13.210; N: J-H 9.856uulm.shelfmark
DCMI TypeTextuulm.typeDCMI
VTS-ID6758uulm.vtsID
CategoryPublikationenuulm.category
University Bibliographyjauulm.unibibliographie


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