Korean Journal of Mathematics

  • 제30권2호
  • /
  • Pages.413-423
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  • 2022
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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EXTENSION OF GRACE'S THEOREM TO BI-COMPLEX POLYNOMIALS

  • 투고 : 2021.11.26
  • 심사 : 2022.06.17
  • 발행 : 2022.06.30
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초록

In this paper, we prove some results concerning the zeros of Bi-complex polynomials. These results as special cases include Grace's theorem and related results.

키워드

과제정보

The authors are highly grateful to the referee for his/her valuable comments and suggestions.

참고문헌

  1. J. H. Grace, The zeros of a polynomial, Proc. Cambridge Philos. Soc. 11 (1902), 352-357.
  2. M. Marden, The Geomatry of polynomials, 2nd ed., Mathematical Surveys, no. 3, Amer. Math. Soc., Providence, R.I. 1966.
  3. G. B. Price, An introduction to multicomplex spaces and functions, Marcel Dekker, New York, 1991.
  4. G. Szego, Bemerkungen zu einem Satz von J. H. Grace uber die Wurzeln algebraischer Gleichungen, Math. Z. 13 (1922), 28-55. https://doi.org/10.1007/BF01485280
  5. J. L. Walsh, On the location of the roots of certain types of polynomials, Trans. Amer. Math. Soc. 24 (1922), 163-180. https://doi.org/10.1090/S0002-9947-1922-1501220-0
  6. Wikipedia contributors: Duocylinder, Wikipedia, July 5, 2021, 20:12 UTC. Available at: https://en.m.wikipedia.org/wiki/Duocylinder. Accessed September 18, 2021.