Some results in the location of the zeros of linear combinations of polynomials
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- by Zalman Rubinstein
- Trans. Amer. Math. Soc. 116 (1965), 1-8
- DOI: https://doi.org/10.1090/S0002-9947-1965-0186796-9
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References
- M. Biernacki, Sur les équations algébriques contenant des paramètres arbitraires, Bull. Acad. Polon. Sci. Sér. A (1927), 541-685.
- W. Jankowski, Sur les zéros d’un polynôme contenant un paramètre arbitraire, Ann. Polon. Math. 3 (1957), 304–311 (French). MR 85328, DOI 10.4064/ap-3-2-304-311
- Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. MR 0031114
- J. L. Walsh, A theorem of Grace on the zeros of polynomials, revisited, Proc. Amer. Math. Soc. 15 (1964), 354–360. MR 160883, DOI 10.1090/S0002-9939-1964-0160883-8
- Mishael Zedek, Continuity and location of zeros of linear combinations of polynomials, Proc. Amer. Math. Soc. 16 (1965), 78–84. MR 171902, DOI 10.1090/S0002-9939-1965-0171902-8
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 116 (1965), 1-8
- MSC: Primary 30.11
- DOI: https://doi.org/10.1090/S0002-9947-1965-0186796-9
- MathSciNet review: 0186796