Estimates on the growth of meromorphic solutions of linear differential equations
type: Item
instance of: scholarly article
title: Estimates on the growth of meromorphic solutions of linear differential equations
zbMATH Open document ID: 1057.34110
author: Yik-Man Chiang
author: Walter K. Hayman
published in: Commentarii Mathematici Helvetici
publication date: 2004-11-05T00:00:00Z
review text: The paper is devoted to pointwise estimates on meromorphic solutions of linear differential equations with coefficients meromorphic on a finite disc or on an open plane. It is shown that the growth of suitable solutions can be estimated sharply in terms of initial conditions of the solution at or near the origin and the characteristic functions of the coefficients. The proof is based on the construction of a path consisting of a ray and a circle on which the coefficients are all bounded in terms of the sum of their characteristic functions on a larger circle.
Mathematics Subject Classification ID: 34M10
Mathematics Subject Classification ID: 34M05
zbMATH DE Number: 2113901
zbMATH Keywords: linear differential equations
zbMATH Keywords: growth of meromorphic solutions
zbMATH Keywords: Nevanlinna characteristics
reviewed by: J. Saurer
MaRDI profile type: Publication
full work available at URL: s00014-003-0792-7
OpenAlex ID: W1987981399
DOI: 10.1007/S00014-003-0792-7
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description: scientific article; zbMATH DE number 2113901