Laplace contour integrals and linear differential equations

Steinmetz, Norbert

Laplace contour integrals and linear differential equations

dc.contributor.author	Steinmetz, Norbert
dc.date.accessioned	2022-03-07T12:48:33Z
dc.date.available	2022-03-07T12:48:33Z
dc.date.issued	2021-07-17
dc.description.abstract	The 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.identifier.uri	http://hdl.handle.net/2003/40769
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-22626
dc.language.iso	en	de
dc.relation.ispartofseries	Computational methods and function theory;Vol. 21. 2021, pp 565–585
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Linear differential equation	en
dc.subject	Laplace contour integral	en
dc.subject	Asymptotic expansion	en
dc.subject	Order of growth	en
dc.subject	Phragmén–Lindelöf indicator	en
dc.subject	Sub-normal solution	en
dc.subject	Function of complete regular growth	en
dc.subject	Distribution of zeros	en
dc.subject.ddc	520
dc.title	Laplace contour integrals and linear differential equations	de
dc.type	Text	de
dc.type.publicationtype	article	de
dcterms.accessRights	open access
eldorado.secondarypublication	true	de
eldorado.secondarypublication.primarycitation	Computational methods and function theory. Vol. 21. 2021, pp 565–585	en
eldorado.secondarypublication.primaryidentifier	https://doi.org/10.1007/s40315-021-00397-2	de

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