Interaction between coefficient conditions and solution conditions of differential equations in the unit disk
The influence of the normality of the coefficient A(z) of the differential equation f(k)+A(z)f=0 on a solution f and also the influence of the normality of a solution f on A(z) are investigated in the unit disk. In particular, an estimate of P. Lappan is used to determine restrictions on the growth...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/52583 |
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| author | K. E. Fowler L. R. Sons |
| author_facet | K. E. Fowler L. R. Sons |
| author_sort | K. E. Fowler |
| collection | DOAJ |
| description | The influence of the normality of the coefficient A(z) of the differential equation f(k)+A(z)f=0 on a solution f and also the influence of the normality of a solution f on A(z) are investigated in the unit disk. In particular, an estimate of P.
Lappan is used to determine restrictions on the growth of a
meromorphic function A(z) when a solution f is α-normal. |
| format | Article |
| id | doaj-art-15de3d6499bb461c896e747c8dbe1ab4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-15de3d6499bb461c896e747c8dbe1ab42025-02-03T01:23:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5258352583Interaction between coefficient conditions and solution conditions of differential equations in the unit diskK. E. Fowler0L. R. Sons1Department of Mathematics, University of Tampa, Tampa 33606, FL, USADepartment of Mathematical Sciences, Northern Illinois University, DeKalb 60115, IL, USAThe influence of the normality of the coefficient A(z) of the differential equation f(k)+A(z)f=0 on a solution f and also the influence of the normality of a solution f on A(z) are investigated in the unit disk. In particular, an estimate of P. Lappan is used to determine restrictions on the growth of a meromorphic function A(z) when a solution f is α-normal.http://dx.doi.org/10.1155/IJMMS/2006/52583 |
| spellingShingle | K. E. Fowler L. R. Sons Interaction between coefficient conditions and solution conditions of differential equations in the unit disk International Journal of Mathematics and Mathematical Sciences |
| title | Interaction between coefficient conditions and solution conditions
of differential equations in the unit disk |
| title_full | Interaction between coefficient conditions and solution conditions
of differential equations in the unit disk |
| title_fullStr | Interaction between coefficient conditions and solution conditions
of differential equations in the unit disk |
| title_full_unstemmed | Interaction between coefficient conditions and solution conditions
of differential equations in the unit disk |
| title_short | Interaction between coefficient conditions and solution conditions
of differential equations in the unit disk |
| title_sort | interaction between coefficient conditions and solution conditions of differential equations in the unit disk |
| url | http://dx.doi.org/10.1155/IJMMS/2006/52583 |
| work_keys_str_mv | AT kefowler interactionbetweencoefficientconditionsandsolutionconditionsofdifferentialequationsintheunitdisk AT lrsons interactionbetweencoefficientconditionsandsolutionconditionsofdifferentialequationsintheunitdisk |