Location of zeros of infrapolynomials

T. S. Motzkin; J. L. Walsh

Compositio Mathematica (1959-1960)

  • Volume: 14, page 50-70
  • ISSN: 0010-437X

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Motzkin, T. S., and Walsh, J. L.. "Location of zeros of infrapolynomials." Compositio Mathematica 14 (1959-1960): 50-70. <http://eudml.org/doc/88860>.

@article{Motzkin1959-1960,
author = {Motzkin, T. S., Walsh, J. L.},
journal = {Compositio Mathematica},
keywords = {linear algebra, polynomials, forms},
language = {eng},
pages = {50-70},
publisher = {Kraus Reprint},
title = {Location of zeros of infrapolynomials},
url = {http://eudml.org/doc/88860},
volume = {14},
year = {1959-1960},
}

TY - JOUR
AU - Motzkin, T. S.
AU - Walsh, J. L.
TI - Location of zeros of infrapolynomials
JO - Compositio Mathematica
PY - 1959-1960
PB - Kraus Reprint
VL - 14
SP - 50
EP - 70
LA - eng
KW - linear algebra, polynomials, forms
UR - http://eudml.org/doc/88860
ER -

References

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  1. S. Bernstein [1] Leçons sur les propriétés extrémales, Paris1926. JFM52.0256.02
  2. [2] Sur la limitation des dérivées des polynomes. ParisComptes Rendus, vol. 190 (1930), pp. 338-341. Zbl56.0301.02JFM56.0301.02
  3. N.G. De Bruijn [3] Inequalities concerning polynomials in the complex domain. Nederlandsche Akad. Wetensch. Proc. vol. 50 (1947), pp. 1265-1272. Zbl0029.19802MR23380
  4. N.G. De Bruijn and T.A. Springer [4] On the zeros of a polynomial and of its derivative. Same journal, vol. 50 (1947), pp. 458—464. Zbl0029.19801
  5. M. Fekete [5] On the structure of extremal polynomials. Proc. Nat. Acad. Sci., vol. 37 (1951), pp. 95-103. Zbl0042.01503MR41977
  6. G.H. Hardy and E.M. Wright [6] An introduction to the theory of numbers (Oxford, 1938). Zbl0020.29201MR67125
  7. T.S. Motzkin and J.L. Walsh [7] On the derivative of a polynomial and Chebyshev approximation. Proc. Amer. Math. Soc., vol. 4 (1953), pp. 76—87. Zbl0050.06902
  8. [8] Underpolynomials and infrapolynomials. Illinois Journal of Math., vol. 1 (1957), pp. 406—426. Zbl0078.26101
  9. J.L. Walsh [9] The location of critical points. Colloquium Publications, Amer. Math. Soc., vol. 34 (1950). Zbl0041.04101MR37350

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