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dc.contributor.authorSteinmetz, Norbert-
dc.date.accessioned2022-03-07T12:48:33Z-
dc.date.available2022-03-07T12:48:33Z-
dc.date.issued2021-07-17-
dc.identifier.urihttp://hdl.handle.net/2003/40769-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22626-
dc.description.abstractThe purpose of this paper is to determine the main properties of Laplace contour integrals Λ(z)=12πi∫Cϕ(t)e−ztdt that solve linear differential equations L[w](z):=w(n)+∑j=0n−1(aj+bjz)w(j)=0. This concerns, in particular, the order of growth, asymptotic expansions, the Phragmén–Lindelöf indicator, the distribution of zeros, the existence of sub-normal and polynomial solutions, and the corresponding Nevanlinna functions.en
dc.language.isoende
dc.relation.ispartofseriesComputational methods and function theory;Vol. 21. 2021, pp 565–585-
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/-
dc.subjectLinear differential equationen
dc.subjectLaplace contour integralen
dc.subjectAsymptotic expansionen
dc.subjectOrder of growthen
dc.subjectPhragmén–Lindelöf indicatoren
dc.subjectSub-normal solutionen
dc.subjectFunction of complete regular growthen
dc.subjectDistribution of zerosen
dc.subject.ddc520-
dc.titleLaplace contour integrals and linear differential equationsde
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access-
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s40315-021-00397-2de
eldorado.secondarypublication.primarycitationComputational methods and function theory. Vol. 21. 2021, pp 565–585en
Appears in Collections:Fakultät für Mathematik

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