Location of zeros of infrapolynomials

T. S. Motzkin; J. L. Walsh

Compositio Mathematica (1959-1960)

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

How to cite


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

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},

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 -


  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.