Shackell, John
(1998)
*
On a problem of Rubel concerning the set of functions satisfying all the algebraic differential equations satisfied by a given function.
*
Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques, 41
(2).
pp. 214-224.
ISSN 0008-4395.
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## Abstract

For two functions f and g, define g much less than f to mean that g satisfies every algebraic differential equation over the constants satisfied by f. The order much less than was introduced in one of a set of problems on algebraic differential equations given by the late Lee Rubel. Here we characterise the set of g such that g much less than f, when S is a given Liouvillian function.

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Tara Puri |

Date Deposited: | 03 Jul 2009 14:21 |

Last Modified: | 06 Jun 2014 14:02 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/17121 (The current URI for this page, for reference purposes) |

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