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