Geometry of the zeros of the sums of linear fractions
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- by J. L. Walsh
- Trans. Amer. Math. Soc. 114 (1965), 30-39
- DOI: https://doi.org/10.1090/S0002-9947-1965-0179331-2
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References
- 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. 19 (1918), no. 3, 291–298. MR 1501102, DOI 10.1090/S0002-9947-1918-1501102-3 —, The location of critical points, Amer. Math. Soc. Colloq. Publ. Vol. 34, Amer. Math. Soc., Providence, R. I., 1950.
- 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
- J. L. Walsh and O. Shisha, The zeros of infrapolynomials with prescribed values at given points, Proc. Amer. Math. Soc. 14 (1963), 839–844. MR 153824, DOI 10.1090/S0002-9939-1963-0153824-X
- J. L. Walsh and O. Shisha, Extremal polynomials and the zeros of the derivative of a rational function, Proc. Amer. Math. Soc. 15 (1964), 753–758. MR 167604, DOI 10.1090/S0002-9939-1964-0167604-3
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 114 (1965), 30-39
- MSC: Primary 30.11
- DOI: https://doi.org/10.1090/S0002-9947-1965-0179331-2
- MathSciNet review: 0179331