GENERALIZED SELF-INVERSIVE BICOMPLEX POLYNOMIALS WITH RESPECT TO THE j-CONJUGATION
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In this paper, we study a kind of self-inversive polynomials in bicomplex algebra. For a bicomplex polynomial, this is the study of a relation between a kind of symmetry of its coecients and a kind of symmetry of zeros. For our deep study, we de ne several new levels of self-inversivity. We prove some functional equations for standard ones, a decomposition theorem for generalized ones and a comparison theorem. Although we focus the j-conjugation in our study, our argument can be applied for other conjugations.
Abstract
In this paper, we study a kind of self-inversive polynomials in bicomplex algebra. For a bicomplex polynomial, this is the study of a relation between a kind of symmetry of its coecients and a kind of symmetry of zeros. For our deep study, we de ne several new levels of self-inversivity. We prove some functional equations for standard ones, a decomposition theorem for generalized ones and a comparison theorem. Although we focus the j-conjugation in our study, our argument can be applied for other conjugations.
참고문헌 (8)
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