General Mathematics

    

Solving Ultimate Nth-Degree Algebraic Equations: Evading the Abel-Ruffini Theorem?

Authors: Arthur Shevenyonov

The present paper proposes a most parsimonious scheme to arrive at solutions for polynomial algebraic (or ODE) equations of an arbitrary degree (order). The former option treats the polynomial as an implied characteristic of a difference/recurrent equation (dubbed an AlD, or algebraic-to-difference path). The latter (i.e. ODE) domain, rather than building on the more trivial differential-difference parallelism, embarks on first reducing ODE to algebraic (while making use of, say, Mikusinski-style E-operators) then applying the above procedure (what amounts to a DARF/DARE, or differential to algebraic to recurrent/functional equation path).

Comments: 6 Pages.

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Submission history

[v1] 2026-02-17 00:24:20

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