Note on a role for entire functions of the classes P and P*
We use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171281000483 |
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doaj-54204dd00452451eba90704c2595de82 |
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Article |
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doaj-54204dd00452451eba90704c2595de822020-11-25T01:00:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014464965410.1155/S0161171281000483Note on a role for entire functions of the classes P and P*C. L. Prather0Department of Mathematics, Virginia Tech, Blacksburg 24061, Virginia, USAWe use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.http://dx.doi.org/10.1155/S0161171281000483final setdifferential operatorscomparison principleGauss- Lucas Theorem. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
C. L. Prather |
| spellingShingle |
C. L. Prather Note on a role for entire functions of the classes P and P* International Journal of Mathematics and Mathematical Sciences final set differential operators comparison principle Gauss- Lucas Theorem. |
| author_facet |
C. L. Prather |
| author_sort |
C. L. Prather |
| title |
Note on a role for entire functions of the classes P and P* |
| title_short |
Note on a role for entire functions of the classes P and P* |
| title_full |
Note on a role for entire functions of the classes P and P* |
| title_fullStr |
Note on a role for entire functions of the classes P and P* |
| title_full_unstemmed |
Note on a role for entire functions of the classes P and P* |
| title_sort |
note on a role for entire functions of the classes p and p* |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1981-01-01 |
| description |
We use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified. |
| topic |
final set differential operators comparison principle Gauss- Lucas Theorem. |
| url |
http://dx.doi.org/10.1155/S0161171281000483 |
| work_keys_str_mv |
AT clprather noteonaroleforentirefunctionsoftheclassespandp |
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1725214146060877824 |