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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The zeros of infrapolynomials with prescribed values at given points


Authors: J. L. Walsh and O. Shisha
Journal: Proc. Amer. Math. Soc. 14 (1963), 839-844
MSC: Primary 30.11
MathSciNet review: 0153824
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  • [1949] M. Marden, The geometry of the zeros of a polynomial in a complex variable, Mathematical Surveys, No. 3. Amer. Math. Soc., Providence, R. I., 1949. MR 0031114 (11:101i)
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  • [1955] -, A generalization of Jensen's theorem on the zeros of the derivative of a polynomial, Amer. Math. Monthly 62 (1955), 91-93. MR 0068037 (16:818b)
  • [1956] J. L. Walsh and M. Zedek, On generalized Tchebycheff polynomials, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 99-104. MR 0075338 (17:730d)
  • [1957] T. S. Motzkin and J. L. Walsh, Under polynomials and infrapolynomials, Illinois J. Math. 1 (1957), 406-426. MR 0089267 (19:643d)
  • [1961] O. Shisha and J. L. Walsh, The zeros of infrapolynomials with some prescribed coefficients, J. Analyse Math. 9 (1961), 111-160. MR 0136712 (25:174)
  • [1961a] 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 0132162 (24:A2009)
  • [1962] O. Shisha, An extension of Jensen's theorem for the derivative of a polynomial and for infrapolynomials, J. Res. Nat. Bur. Standards Sect. B 66 (1962), no. 2, 53-55. MR 0136711 (25:173)

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DOI: http://dx.doi.org/10.1090/S0002-9939-1963-0153824-X
PII: S 0002-9939(1963)0153824-X
Article copyright: © Copyright 1963 American Mathematical Society