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Extension of Grace's theorem to bi-complex polynomials

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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.

Abstract

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.

참고문헌 (6)

  1. J. H. Grace, "The zeros of a polynomial", Proc. Cambridge Philos. Soc, 11, pp.352~357 (1902)
  2. M. Marden, "The Geomatry of polynomials" (1966), Amer. Math. Soc
  3. G. B. Price, "An introduction to multicomplex spaces and functions" (1991), Marcel Dekker
  4. G. Szeg¨o, "Bemerkungen zu einem Satz von J. H. Grace u¨ber die Wurzeln algebraischer Gleichungen", Math. Z, 13, pp.28~55 (1922)
  5. J. L. Walsh, "On the location of the roots of certain types of polynomials", Trans. Amer. Math. Soc, 24, pp.163~180 (1922)
  6. "Wikipedia contributors: Duocylinder" (2021)[URL]

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