On the location of the zeros of the derivative of rational functions of distance polynomials
HTML articles powered by AMS MathViewer
- by Augusta Schurrer PDF
- Trans. Amer. Math. Soc. 89 (1958), 100-112 Request permission
References
-
M. Bôcher, A problem in statics and its relation to certain algebraic invariants, Proc. Amer. Acad. Arts Sci. vol. 40 (1904) pp. 469-484.
G. Darboux, Sur une classe remarquable de courbes et de surfaces algébriques et sur la théorie des imaginaires, Paris, 1873, pp. 107-334.
- Morris Marden, On the zeros of linear partial fractions, Trans. Amer. Math. Soc. 32 (1930), no. 1, 81–109. MR 1501527, DOI 10.1090/S0002-9947-1930-1501527-1
- Morris Marden, On the zeros of the derivative of a rational function, Bull. Amer. Math. Soc. 42 (1936), no. 6, 400–406. MR 1563310, DOI 10.1090/S0002-9904-1936-06315-9 —, The geometry of the zeros of a polynomial in a complex variable, New York, 1949.
- Gyula v. Sz. Nagy, Über die Lage der Nullstellen eines Abstandspolynoms und seiner Derivierten, Bull. Amer. Math. Soc. 55 (1949), 329–342 (German). MR 30036, DOI 10.1090/S0002-9904-1949-09210-8 J. L. Walsh, On the location of the roots of the derivative of a polynomial, C.R. Congress International des Mathematiciens, Strasbourg, 1920, pp. 339-342 and C.R. Acad. Sci. Paris vol. 172 (1921) pp. 662-664.
- J. L. Walsh, On the location of the roots of the Jacobian of two binary forms, and of the derivative of a rational function, Trans. Amer. Math. Soc. 22 (1921), no. 1, 101–116. MR 1501162, DOI 10.1090/S0002-9947-1921-1501162-X —, The location of the critical points of analytic and harmonic functions, New York, 1950, pp. 109-120.
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 89 (1958), 100-112
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0098172-4
- MathSciNet review: 0098172