Fundamentals of a Wiman Valiron theory for polymonogenic functions

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dc.contributor.authorKrausshar, R.S.
dc.contributor.authorAlmeida, Regina De
dc.date.accessioned2016-11-16T10:20:54Z
dc.date.available2016-11-16T10:20:54Z
dc.date.issued2015-08-28
dc.description.abstractIn this paper we present some rudiments of a generalized Wiman-Valiron theory in the context of polymonogenic functions. In particular, we analyze the relations between different notions of growth orders and the Taylor coefficients. Our main intention is to look for generalizations of the Lindelof-Pringsheim theorem. In contrast to the classical holomorphic and the monogenic setting we only obtain inequality relations in the polymonogenic setting. This is due to the fact that the Almansi-Fischer decomposition of a polymonogenic function consists of different monogenic component functions where each of them can have a totally different kind of asymptotic growth behavior.pt
dc.identifier.citationKraußhar,RS Almeida,R Fundamentals of a Wiman Valiron theory for polymonogenic functions, IKM 2015, Weimar, Proceedings of the 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering , 123-128, Bauhaus-Universitaet Weimar, 20 a 22 de julho de 2015pt
dc.identifier.issn1611-4086
dc.identifier.urihttp://hdl.handle.net/10348/6831
dc.language.isoengpt
dc.peerreviewedyespt
dc.publisherKlaus Gürlebeck, Tom Lahmerpt
dc.relation.ispartofCM - Centro de Matemáticapt
dc.relation.publisherversionhttps://e-pub.uni-weimar.de/opus4/frontdoor/index/index/year/2015/docId/2451pt
dc.rightsrestricted accesspt
dc.subjectWiman-Valiron theorypt
dc.subjectpolymonogenic functionspt
dc.subjectgrowth orderspt
dc.titleFundamentals of a Wiman Valiron theory for polymonogenic functionspt
dc.typeconferenceObjectpt
degois.publication.firstPage127pt
degois.publication.lastPage128pt
degois.publication.locationWeimar, Germanpt
degois.publication.titleInternationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar, 20. 2015pt
dspace.entity.typePublicationen
person.affiliation.nameDMAT
person.familyNameAlmeida
person.givenNameRegina De
person.identifier.orcid0000-0003-1834-5333
relation.isAuthorOfPublication527a939e-5e72-4148-a793-0d381e67087a
relation.isAuthorOfPublication.latestForDiscovery527a939e-5e72-4148-a793-0d381e67087a
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