Authors: | Steinmetz, Norbert |
Title: | Laplace contour integrals and linear differential equations |
Language (ISO): | en |
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. |
Subject Headings: | Linear differential equation Laplace contour integral Asymptotic expansion Order of growth Phragmén–Lindelöf indicator Sub-normal solution Function of complete regular growth Distribution of zeros |
URI: | http://hdl.handle.net/2003/40769 http://dx.doi.org/10.17877/DE290R-22626 |
Issue Date: | 2021-07-17 |
Rights link: | http://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Steinmetz2021_Article_LaplaceContourIntegralsAndLine.pdf | 374.9 kB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is licensed under a Creative Commons License