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Continuity and location of zeros of linear combinations of polynomials


Author: Mishael Zedek
Journal: Proc. Amer. Math. Soc. 16 (1965), 78-84
MSC: Primary 30.11
DOI: https://doi.org/10.1090/S0002-9939-1965-0171902-8
MathSciNet review: 0171902
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  • [1] M. Marden, The geometry of the zeros of a polynomial in a complex variable, Math. Surveys No. 3, Amer. Math. Soc., Providence, R. I., 1949. MR 0031114 (11:101i)
  • [2] A. Ostrowski, Recherches sur la méthode de Graeffe et les zéros des polynomes et des séries de Laurent, Acta Math. 72 (1940), 99-257. MR 0001944 (1:323f)
  • [3] Z. Rubinstein, Analytic methods in the study of zeros of polynomials, Pacific J. Math. 13 (1963), 237-249. MR 0154970 (27:4913)
  • [4] W. Specht, Algebraische Gleichungen mit reelen oder komplexen Koeffizienten, Enzyklop. d. math. Wissen., 2nd ed., I 1, 3, II, Stuttgart, 1958. MR 0106274 (21:5008)
  • [5] J. L. Walsh, On the location of roots of certain types of polynomials, Trans. Amer. Math. Soc. 24 (1922), 163-180. MR 1501220

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DOI: https://doi.org/10.1090/S0002-9939-1965-0171902-8
Article copyright: © Copyright 1965 American Mathematical Society

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