Families of Differential Equations in the Unit Disk

We study the interaction between coefficient and solution conditions for complex linear differential equations in the unit disk within the context of normal families and corresponding families of differential equations. In addition, we consider this interaction within the context of normal functions...

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Bibliographic Details
Main Author: Kari E. Fowler
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2019/8541705
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Summary:We study the interaction between coefficient and solution conditions for complex linear differential equations in the unit disk within the context of normal families and corresponding families of differential equations. In addition, we consider this interaction within the context of normal functions in terms of Noshiro. Consideration of families of differential equations introduces a new perspective for studying normality. Consequently, sharper results are found than in previous studies involving normal functions within the context of one differential equation.
ISSN:2314-4629
2314-4785