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GENERALIZED SELF-INVERSIVE BICOMPLEX POLYNOMIALS WITH RESPECT TO THE j-CONJUGATION

  • Received : 2020.07.13
  • Accepted : 2020.12.09
  • Published : 2021.07.31

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 coefficients and a kind of symmetry of zeros. For our deep study, we define 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.

Keywords

Acknowledgement

The authors would like to express our gratitude to Professor K. Ihara and the referee for several useful comments.

References

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