The possible orders of growth of solutions to certain linear differential equations near a singular point
type: Item
instance of: scholarly article
title: The possible orders of growth of solutions to certain linear differential equations near a singular point
zbMATH Open document ID: 1382.34097
author: Saada Hamouda
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-11-28T00:00:00Z
review text: The author considers linear differential equations where the coefficients are polynomials of \(1/(z-z_0)\), and is looking for possible orders of the growth of solutions in the class of analytic functions in the punctured extended complex plane \(\overline{\mathbb C}\setminus \{z_0\}\). The substitution \(w=1/(z-z_0)\) reduces the question to the problem on possible orders of growth of entire solutions, which is completely solved in [\textit{G. G. Gundersen} et al., Trans. Am. Math. Soc. 350, No. 3, 1225--1247 (1998; Zbl 0893.34003)].
Mathematics Subject Classification ID: 34M10
Mathematics Subject Classification ID: 34M05
Mathematics Subject Classification ID: 34M03
zbMATH DE Number: 6813435
zbMATH Keywords: linear differential equation
zbMATH Keywords: growth of solutions near a singular point
reviewed by: Igor Chyzhykov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.10.005
OpenAlex ID: W2762147674
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DOI: 10.1016/J.JMAA.2017.10.005
description: scientific article; zbMATH DE number 6813435