The zeros of infrapolynomials with prescribed values at given points
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- by J. L. Walsh and O. Shisha PDF
- Proc. Amer. Math. Soc. 14 (1963), 839-844 Request permission
References
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- 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
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- Joseph L. Walsh and Mishael Zedek, On generalized Tchebycheff polynomials, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 99–104. MR 75338, DOI 10.1073/pnas.42.2.99
- T. S. Motzkin and J. L. Walsh, Underpolynomials and infrapolynomials, Illinois J. Math. 1 (1957), 406–426. MR 89267
- O. Shisha and J. L. Walsh, The zeros of infrapolynomials with some prescribed coefficients, J. Analyse Math. 9 (1961/62), 111–160. MR 136712, DOI 10.1007/BF02795341
- J. L. Walsh, A new generalization of Jensen’s theorem on the zeros of the derivative of a polynomial, Amer. Math. Monthly 68 (1961), 978–983. MR 132162, DOI 10.2307/2311804
- O. Shisha, An extension of Jensen’s theorem for the derivative of a polynomial and for infrapolynomials, J. Res. Nat. Bur. Standards Sect. B 66B (1962), 53–55. MR 136711
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 839-844
- MSC: Primary 30.11
- DOI: https://doi.org/10.1090/S0002-9939-1963-0153824-X
- MathSciNet review: 0153824