Abstract

The aim of this paper is to extend the domain of the Gauss—Lucas theorem from the set of complex numbers to the set of bicomplex numbers. We also discuss a bicomplex version of another compact generalization of the Gauss—Lucas theorem.

DOI

10.3906/mat-1512-19

Keywords

Bicomplex polynomial, Gauss--Lucas theorem

First Page

1618

Last Page

1627

Recommended Citation

BIDKHAM, M, & AHAMADI, S (2017). Generalization of the Gauss--Lucas theorem for bicomplex polynomials. Turkish Journal of Mathematics 41 (6): 1618-1627. https://doi.org/10.3906/mat-1512-19

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