On the set of zeros of bicomplex polynomials

Abstract

In this article we study the roots or zeros of polynomials with bicomplex coefficients. Bicomplex algebra is a two-dimensional Clifford algebra over with commutative multiplication, and is a generalization of complex numbers. We present a technique for computing zeros of bicomplex polynomials, and illustrate our main results with some examples.

Keywords:

• Bicomplex numbers
• Polynomials
• Zeros

Keywords:

• Mathematics Subject Classifications: 30C15
• 12D10

Acknowledgements

The authors would like to thank ITESM, Campus Monterrey, through the Research Chair in Telecommunications for the support provided in the development of this work.