The zeros of infrapolynomials with prescribed values at given points
Authors:
J. L. Walsh and O. Shisha
Journal:
Proc. Amer. Math. Soc. 14 (1963), 839844
MSC:
Primary 30.11
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, http://dx.doi.org/10.1090/S00029947192215012200
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, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloq. Publ. Vol. 20, Amer. Math. Soc., Providence, R. I., 1935.
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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
(12,249d)
 [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
(16,818b)
 [1956]
Joseph
L. Walsh and Mishael
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, Underpolynomials 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 (1961/1962),
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 66B (1962), 53–55. MR 0136711
(25 #173)
 [1922]
 J. L. Walsh, On the location of the roots of certain types of polynomials, Trans. Amer. Math. Soc. 24 (1922), 163180. MR 1501220
 [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]
 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)
 [1950]
 J. L. Walsh, The location of critical points of analytic and harmonic functions, Amer. Math. Soc. Colloq. Publ. Vol. 34, Amer. Math. Soc., Providence, R. I., 1950. MR 0037350 (12:249d)
 [1955]
 , A generalization of Jensen's theorem on the zeros of the derivative of a polynomial, Amer. Math. Monthly 62 (1955), 9193. MR 0068037 (16:818b)
 [1956]
 J. L. Walsh and M. Zedek, On generalized Tchebycheff polynomials, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 99104. MR 0075338 (17:730d)
 [1957]
 T. S. Motzkin and J. L. Walsh, Under polynomials and infrapolynomials, Illinois J. Math. 1 (1957), 406426. MR 0089267 (19:643d)
 [1961]
 O. Shisha and J. L. Walsh, The zeros of infrapolynomials with some prescribed coefficients, J. Analyse Math. 9 (1961), 111160. 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), 978983. 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, 5355. MR 0136711 (25:173)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002993919630153824X
PII:
S 00029939(1963)0153824X
Article copyright:
© Copyright 1963 American Mathematical Society
