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oaioai:doaj.org/article:22dd8469786d475287e836e43d459956

Powersum formula for differential resolvents

Authors
Publication date
1 January 2004
Publisher
'Hindawi Limited'
Doi

    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

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