Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A NOTE ON ENSTRÖM-KAKEYA THEOREM FOR QUATERNIONIC POLYNOMIALS

  • Hussain, Adil (Department of Mathematics, University of Kashmir)
  • Received : 2022.04.06
  • Accepted : 2022.08.31
  • Published : 2022.09.30
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Abstract

In this paper, we are concerned with the problem of locating the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.

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References

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