On second order linear differential polynomials
type: Item
instance of: scholarly article
title: On second order linear differential polynomials
zbMATH Open document ID: 0812.30012
DOI: 10.1007/BF03322288
published in: Results in Mathematics
publication date: 1994-11-14T00:00:00Z
review text: Let \(f\) be meromorphic in \(G:= \{z\in \mathbb{C}\mid R\leq | z|< \infty\}\) and define \(F\) by \[ F:= f''+ a_ 1 f' a_ 0 f, \] where \(a_ 0\) and \(a_ 1\) are rational at infinity. The author classifies all meromorphic functions \(f\) such that \(f\cdot F\) has no zeros in \(G\). For the details we have to refer to the paper.
reviewed by: Günter Frank
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 687810
zbMATH Keywords: differential polynomials
zbMATH Keywords: inhomogeneous linear differential equations
author: James K. Langley
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03322288
OpenAlex ID: W2092268245
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description: scientific article; zbMATH DE number 687810