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References
M. Biernacki, Sur les équations algébriques contenant des paramètres arbitraires,Bull. de l'Acad. Pol. Sci. A (1927), pp. 541–685.
M. Biernacki, Sur les zéros de polynômes,Ann. Univ. Mariae Curie Sklodowska Lublin, Sec. A (1955), pp. 81–95.
M. Marden, The geometry of the zeros of a polynomial in a complex variable,Amer. Math. Soc. Math. Surveys, no. 3 (1949).
M. Parodi, Sur quelques propriétés des polynômes de la formeg(x)=f(x)−xf(x), C. R. Acad. Sci. Paris 253 (1961), pp. 1895–1898.
Z. Rubinstein and J. L. Walsh, Some results about zeros of sections of polynomials (to appear).
J. L. Walsh, On the location of the roots of the derivative of a polynomial,C. R. Cong. Int. des Math. à Strasb. (1921), pp. 339–342.
J. L. Walsh, On the location of the roots of certain types of polynomials,Trans. Amer. Math. Soc. 22 (1922), pp. 163–180.
J. L. Walsh, The location of the zeros of the derivative of a rational function, revisited,Jour. Math. Pures et Appl., 1964.
J. L. Walsh, Grace's theorem on the zeros of polynomials, revisited,Proc. Amer. Math. Soc. 15 (1964).
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This research was sponsored (in part) by the Air Force Office of Scientific Research.
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Rubinstein, Z., Walsh, J.L. On the location of the zeros of a polynomial whose center of gravity is given. J. Anal. Math. 12, 129–142 (1964). https://doi.org/10.1007/BF02807432
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DOI: https://doi.org/10.1007/BF02807432