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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Di Palma, E., & Sabia, E. (2015). Cardan Polynomials, Chebyshev Exponents, Ultra-Radicals and Generalized Imaginary Units. Advances in Applied Clifford Algebras, 25(1), 81 - 94. https://doi.org/10.1007/s00006-014-0463-3