Differential Galois Theory of Linear Difference Equations

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dc.creatorHardouin, Charlotte
dc.creatorSinger, Michael F.
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:33Z
dc.date.available2026-07-07T08:53:33Z
dc.descriptionWe present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations. With this we are able to reprove Hoelder's Theorem that the Gamma function satisfies no polynomial differential equation and are able to give general results that imply, for example, that no differential relationship holds among solutions of certain classes of q-hypergeometric functions.
dc.description50 pages
dc.identifierhttps://arxiv.org/abs/0801.1493
dc.identifierhttp://arxiv.org/abs/0801.1493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145663
dc.subjectClassical Analysis and ODEs
dc.subject12H05, 12H10, 33B15, 39A10, 39A15
dc.titleDifferential Galois Theory of Linear Difference Equations
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