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Powersum formula for differential resolvents

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  • John Michael Nahay

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.

Suggested Citation

  • John Michael Nahay, 2004. "Powersum formula for differential resolvents," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:695124
    DOI: 10.1155/S0161171204210602
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