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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Distribution of zeros of sequences of polynomials of unbounded degree
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by Alan F. Kay PDF
Proc. Amer. Math. Soc. 6 (1955), 571-582 Request permission
References
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  • Aryeh Dvoretzky, On sections of power series, Ann. of Math. (2) 51 (1950), 643–696. MR 35334, DOI 10.2307/1969373
  • Aryeh Dvoretzky, On the theorem of Jentzsch, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 246–252. MR 29995, DOI 10.1073/pnas.35.5.246
  • P. Erdös and P. Turán, On the distribution of roots of polynomials, Ann. of Math. (2) 51 (1950), 105–119. MR 33372, DOI 10.2307/1969500
  • —, On a problem in the theory of uniform distribution, Nederl. Akad. Wetensch. vol. 51 (1948) pp. 1146-1154, 1262-1269.
  • Jacob Korevaar, The zeros of approximating polynomials and the canonical representation of an entire function, Duke Math. J. 18 (1951), 573–592. MR 43203
  • E. Lindelöf, Sur la determination de la croissance des fonctions entières définies par un dévelopement de Taylor, Bull. Sci. Math. vol. 27 (1903) pp. 213-223. E. Lindwart, Über eine Methode von Laguerre zur Bestimmung des Geschlechts einer ganzen Funktion, Inaugural Dissertation, University of Göttingen, 1914.
  • Gerald R. Mac Lane, Polynomials with zeros on a rectifiable Jordan curve, Duke Math. J. 16 (1949), 461–477. MR 30594
  • A. Ostrowski, Über vollständige Gebiete gleichmässiger Konvergenz von Folgen analyticher Funktionen, Abh. Math. Sem. Hansischen Univ. vol. 1 (1922) pp. 327-350. G. Pólya, Über Annäherung durch Polynome deren Sämtlichen Wurzeln in einem Winkelraum fallen, Nachr. Ges. Wiss. Göttingen (1913) pp. 325-330. P. Rosenbloom, Trans. Amer. Math. Soc. (forthcoming). Bull. Amer. Math. Soc. Abstracts 48-11-321 and 49-9-210. G. Szegö, Über eine Eigenschaft der Exponentialreihe, Berlin Math. Ges. Sitzungsber. (1924) pp. 50-64. —, Über die Nullstellen von Polynomen, die in einem Kreise gleichmäassig konvergieren, Berlin Math. Ges. Sitzungsber. vol. 21 (1922) pp. 59-64. E. C. Titchmarsh, The theory of functions, Oxford University Press, 1950, p. 176. G. Valiron, Lectures on the general theory of integral functions, Toulouse, Édouard Privat, 1923, Chap. II. J. L. Walsh, Interpolation and approximation in the complex domain, p. 68, Theorem 2.
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 6 (1955), 571-582
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1955-0072207-X
  • MathSciNet review: 0072207