The concept of generalized imaginary numbers and the theory of special polynomials as well are pivoting elements in pure and applied Mathematics. Special polynomials can be viewed as a realization of the algebraic abstract notion of generalized imaginary unit. We unify different concepts, emerged in the past or in more recent times, like Cardan polynomials, Chebyshev exponents and Ultra-Radicals, within a common framework yielding new tools to deal with the theory of algebraic equations. © 2014, Springer Basel.

Cardan Polynomials, Chebyshev Exponents, Ultra-Radicals and Generalized Imaginary Units

Sabia, E.;Di Palma, E.;Dattoli, G.
2015-01-01

Abstract

The concept of generalized imaginary numbers and the theory of special polynomials as well are pivoting elements in pure and applied Mathematics. Special polynomials can be viewed as a realization of the algebraic abstract notion of generalized imaginary unit. We unify different concepts, emerged in the past or in more recent times, like Cardan polynomials, Chebyshev exponents and Ultra-Radicals, within a common framework yielding new tools to deal with the theory of algebraic equations. © 2014, Springer Basel.
2015
Algebraic Equations;Chebyshev Polynomials;Generalized Complex Numbers;Ultra-Radicals;Cardan Polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12079/2141
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