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

DOI:
https://doi.org/10.1090/S0002-9939-1963-0153824-X

MathSciNet review:
0153824

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References | Similar Articles | Additional Information

**[1922]**J. L. Walsh,*On the location of the roots of certain types of polynomials*, Trans. Amer. Math. Soc.**24**(1922), no. 3, 163–180. MR**1501220**, https://doi.org/10.1090/S0002-9947-1922-1501220-0**[1935]**-,*Interpolation and approximation by rational functions in the complex domain*, Amer. Math. Soc. Colloq. Publ. Vol. 20, Amer. Math. Soc., Providence, R. I., 1935.**[1949]**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****[1950]**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****[1955]**J. L. Walsh,*A generalization of Jensen’s theorem on the zeros of the derivative of a polynomial*, Amer. Math. Monthly**62**(1955), 91–93. MR**0068037**, https://doi.org/10.2307/2308142**[1956]**Joseph L. Walsh and Mishael Zedek,*On generalized Tchebycheff polynomials*, Proc. Nat. Acad. Sci. U.S.A.**42**(1956), 99–104. MR**0075338****[1957]**T. S. Motzkin and J. L. Walsh,*Underpolynomials and infrapolynomials*, Illinois J. Math.**1**(1957), 406–426. MR**0089267****[1961]**O. Shisha and J. L. Walsh,*The zeros of infrapolynomials with some prescribed coefficients*, J. Analyse Math.**9**(1961/1962), 111–160. MR**0136712**, https://doi.org/10.1007/BF02795341**[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**, https://doi.org/10.2307/2311804**[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**66B**(1962), 53–55. MR**0136711**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1963-0153824-X

Article copyright:
© Copyright 1963
American Mathematical Society