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Iterated Order of Solutions of Linear Differential Equations in the Unit Disc

Iterated Order of Solutions of Linear Differential Equations in the Unit Disc In this paper, we investigate the growth of solutions of higher-order linear differential equations where the coefficient of $$f$$ f dominates the other coefficients near a point on the boundary of the unit disc. This work is a generalization and an improvement of previous results in Hamouda (Electron J Diff Equ 2012: 1–8, 2012), Heittokangas et al. (Result Math 49: 265–278, 2006) and others. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Iterated Order of Solutions of Linear Differential Equations in the Unit Disc

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Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-013-0034-y
Publisher site
See Article on Publisher Site

Abstract

In this paper, we investigate the growth of solutions of higher-order linear differential equations where the coefficient of $$f$$ f dominates the other coefficients near a point on the boundary of the unit disc. This work is a generalization and an improvement of previous results in Hamouda (Electron J Diff Equ 2012: 1–8, 2012), Heittokangas et al. (Result Math 49: 265–278, 2006) and others.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Sep 11, 2013

References