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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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/8541705 |
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| _version_ | 1832549959877001216 |
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| author | Kari E. Fowler |
| author_facet | Kari E. Fowler |
| author_sort | Kari E. Fowler |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d0511818aa184a4b92aefff1d9922278 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d0511818aa184a4b92aefff1d99222782025-02-03T06:08:09ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/85417058541705Families of Differential Equations in the Unit DiskKari E. Fowler0Department of Mathematics, University of Tampa, Tampa, FL 33606, USAWe 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.http://dx.doi.org/10.1155/2019/8541705 |
| spellingShingle | Kari E. Fowler Families of Differential Equations in the Unit Disk Journal of Mathematics |
| title | Families of Differential Equations in the Unit Disk |
| title_full | Families of Differential Equations in the Unit Disk |
| title_fullStr | Families of Differential Equations in the Unit Disk |
| title_full_unstemmed | Families of Differential Equations in the Unit Disk |
| title_short | Families of Differential Equations in the Unit Disk |
| title_sort | families of differential equations in the unit disk |
| url | http://dx.doi.org/10.1155/2019/8541705 |
| work_keys_str_mv | AT kariefowler familiesofdifferentialequationsintheunitdisk |