On Reduction of Quaternionic Polynomials and Their Identical Equality |
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Authors: | Dmytro A Mierzejewski |
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Institution: | 1. Department of Mathematics, Kielce University of Technology, Tysia?clecia Pa??stwa Polskiego Avenue 7, building C, 25-314, Kielce, Poland
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Abstract: | We show that any quaternionic polynomial with one variable can be represented in such a way that the number of its terms will
be not larger than a certain number depending on the degree of the polynomial. We study also some particular cases where this
number can be made even smaller. Then we use the above-mentioned representation to study how to check whether two given quaternionic
polynomials with one variable are identically equal. We solve this problem for all linear polynomials and for some types of
nonlinear polynomials. |
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Keywords: | |
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