Generalization of the Gauss--Lucas theorem for bicomplex polynomials

Authors: MAHMOOD BIDKHAM, SARA AHAMADI

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.

Keywords: Bicomplex polynomial, Gauss--Lucas theorem

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