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

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.
Algebraic Equations;Chebyshev Polynomials;Generalized Complex Numbers;Ultra-Radicals;Cardan Polynomials
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12079/2141
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
social impact