Differential resolvents of minimal order and weight

John Michael Nahay

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-27

Abstract:

We will determine the number of powers of α that appear with nonzero coefficient in an α -power linear differential resolvent of smallest possible order of a univariate polynomial P ( t ) whose coefficients lie in an ordinary differential field and whose distinct roots are differentially independent over constants. We will then give an upper bound on the weight of an α -resolvent of smallest possible weight. We will then compute the indicial equation, apparent singularities, and Wronskian of the Cockle α -resolvent of a trinomial and finish with a related determinantal formula.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:136962

DOI: 10.1155/S016117120440235X

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