Order of growth of solutions to algebraic differential equations in the unit disk
S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204402336 |
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| _version_ | 1832551450464485376 |
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| author | D. Benbourenane L. R. Sons |
| author_facet | D. Benbourenane L. R. Sons |
| author_sort | D. Benbourenane |
| collection | DOAJ |
| description | S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth. |
| format | Article |
| id | doaj-art-32d967e90fcc4f6d8615f26cf6ac71b5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-32d967e90fcc4f6d8615f26cf6ac71b52025-02-03T06:01:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004412161217010.1155/S0161171204402336Order of growth of solutions to algebraic differential equations in the unit diskD. Benbourenane0L. R. Sons1Department of Mathematics and Computer Science, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab EmiratesDepartment of Mathematical Sciences, Northern Illinois University, DeKalb 60115–2888, IL, USAS. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.http://dx.doi.org/10.1155/S0161171204402336 |
| spellingShingle | D. Benbourenane L. R. Sons Order of growth of solutions to algebraic differential equations in the unit disk International Journal of Mathematics and Mathematical Sciences |
| title | Order of growth of solutions to algebraic differential equations in the unit disk |
| title_full | Order of growth of solutions to algebraic differential equations in the unit disk |
| title_fullStr | Order of growth of solutions to algebraic differential equations in the unit disk |
| title_full_unstemmed | Order of growth of solutions to algebraic differential equations in the unit disk |
| title_short | Order of growth of solutions to algebraic differential equations in the unit disk |
| title_sort | order of growth of solutions to algebraic differential equations in the unit disk |
| url | http://dx.doi.org/10.1155/S0161171204402336 |
| work_keys_str_mv | AT dbenbourenane orderofgrowthofsolutionstoalgebraicdifferentialequationsintheunitdisk AT lrsons orderofgrowthofsolutionstoalgebraicdifferentialequationsintheunitdisk |