Extension of Grace's theorem to bi-complex polynomials
Main Article Content
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.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
References
[1] J. H. Grace, The zeros of a polynomial, Proc. Cambridge Philos. Soc. 11 (1902), 352–357. Google Scholar
[2] M. Marden, The Geomatry of polynomials, 2nd ed., Mathematical Surveys, no. 3, Amer. Math. Soc., Providence, R.I. 1966. Google Scholar
[3] G. B. Price, An introduction to multicomplex spaces and functions, Marcel Dekker, New York, 1991. Google Scholar
[4] G. Szego ̈, Bemerkungen zu einem Satz von J. H. Grace u ̈ber die Wurzeln algebraischer Gleichungen, Math. Z. 13 (1922), 28-55. Google Scholar
[5] J. L. Walsh, On the location of the roots of certain types of polynomials, Trans. Amer. Math. Soc. 24 (1922), 163–180. Google Scholar
[6] Wikipedia contributors: Duocylinder, Wikipedia, July 5, 2021, 20:12 UTC. Available at: https://en.m.wikipedia.org/wiki/Duocylinder. Accessed September 18, 2021. Google Scholar