Extremal polynomials and the zeros of the derivative of a rational function
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- by J. L. Walsh and O. Shisha
- Proc. Amer. Math. Soc. 15 (1964), 753-758
- DOI: https://doi.org/10.1090/S0002-9939-1964-0167604-3
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References
- M. Fekete and J. von Neumann, Γber die Lage der Nullstellen gewisser Minimumpolynome, Jber. Deutsch. Math.-Verein. 31 (1922), 125-138.
- T. S. Motzkin and J. L. Walsh, On the derivative of a polynomial and Chebyshev approximation, Proc. Amer. Math. Soc. 4 (1953), 76β87. MR 60640, DOI 10.1090/S0002-9939-1953-0060640-X
- T. S. Motzkin and J. L. Walsh, Least $p$th power polynomials on a finite point set, Trans. Amer. Math. Soc. 83 (1956), 371β396. MR 81991, DOI 10.1090/S0002-9947-1956-0081991-6
- J. L. Walsh, The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society Colloquium Publications, Vol. 34, American Mathematical Society, New York, N. Y., 1950. MR 0037350
- J. L. Walsh and O. Shisha, The zeros of infrapolynomials with prescribed values at given points, Proc. Amer. Math. Soc. 14 (1963), 839β844. MR 153824, DOI 10.1090/S0002-9939-1963-0153824-X
- J. L. Walsh, Geometry of the zeros of the sums of linear fractions, Trans. Amer. Math. Soc. 114 (1965), 30β39. MR 179331, DOI 10.1090/S0002-9947-1965-0179331-2
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 15 (1964), 753-758
- MSC: Primary 30.11
- DOI: https://doi.org/10.1090/S0002-9939-1964-0167604-3
- MathSciNet review: 0167604