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A study on tricomplex polynomials
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DOI：10.15672/hujms.1663042.png)
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Abstract
En 中文
Tricomplex numbers are a generalization of bicomplex numbers. In this paper we detail a technic for finding the roots of tricomplex polynomials. We then generalize the process to multicomplex polynomials. We first consider the set of tricomplex numbers as a Bicomplex Module, then we view it as a C-algebra and we reduce the working method to complex polynomials. We give an example to illustrate the different situations. We then calculate the set of all tricomplex nth roots of unity. Finally, for a multicomplex polynomial, we explain a reduction process ending to search roots in the complex field. Combining these gives the roots for multicomplex polynomials.
Keywords:
. bicomplex numbers
tricomplex numbers
multicomplex numbers
roots of polynomials
Journal
H
IF:
0.9
Papers:
49
Citations:
0