Functions satisfying holonomic q-differential equations

dc.date.accessioned	2007-05-21T09:15:17Z
dc.date.available	2007-05-21T09:15:17Z
dc.date.issued	2007-05-21T09:15:17Z
dc.identifier.uri	urn:nbn:de:hebis:34-2007052118241
dc.identifier.uri	http://hdl.handle.net/123456789/2007052118241
dc.format.extent	125309 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.rights	Urheberrechtlich geschützt
dc.rights.uri	https://rightsstatements.org/page/InC/1.0/
dc.subject	q-derivative	eng
dc.subject	q-differential equation	eng
dc.subject	algorithm	eng
dc.subject	algebra of q-holonomic funcitions	eng
dc.subject.ddc	510
dc.title	Functions satisfying holonomic q-differential equations	eng
dc.type	Preprint
dcterms.abstract	In a similar manner as in some previous papers, where explicit algorithms for finding the differential equations satisfied by holonomic functions were given, in this paper we deal with the space of the q-holonomic functions which are the solutions of linear q-differential equations with polynomial coefficients. The sum, product and the composition with power functions of q-holonomic functions are also q-holonomic and the resulting q-differential equations can be computed algorithmically.	eng
dcterms.accessRights	open access
dcterms.creator	Koepf, Wolfram
dcterms.creator	Rajković, Predrag M.
dcterms.creator	Marinković, Sladjana D.
dc.subject.msc	39A13	eng
dc.subject.msc	33D15	eng