Powersum formula for differential resolvents

John Michael Nahay

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

We will prove that we can specialize the indeterminate α in a linear differential α -resolvent of a univariate polynomial over a differential field of characteristic zero to an integer q to obtain a q -resolvent. We use this idea to obtain a formula, known as the powersum formula , for the terms of the α -resolvent. Finally, we use the powersum formula to rediscover Cockle's differential resolvent of a cubic trinomial.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:695124

DOI: 10.1155/S0161171204210602

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