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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Power series whose sections have zeros of large modulus
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by J. D. Buckholtz PDF
Trans. Amer. Math. Soc. 117 (1965), 157-166 Request permission
References
  • Fritz Carlson, Sur les fonctions entières, Ark. Mat. Astr. Fys. 35A (1948), no. 14, 18 (French). MR 0025568
  • 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
  • G. Sz.-Nagy, Ueber einen Satz von Laguerre, J. Reine Angew. Math. 169 (1933), 186-192.
  • Gyula v. Sz. Nagy, Die Polarkreise eines Punktes in bezug auf ein Polynom, Portugal. Math. 7 (1948), 51–57 (German). MR 27100
  • G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Vols. 1, 2, 2nd ed., Springer, Berlin, 1954.
  • P. C. Rosenbloom, Distribution of zeros of polynomials, Lectures on functions of a complex variable, University of Michigan Press, Ann Arbor, Mich., 1955, pp. 265–285. MR 0072206
  • S. M Shah, The maximum term of an entire series. IV, Quart. J. Math. Oxford Ser. (2) 1 (1950), 112–116. MR 35823, DOI 10.1093/qmath/1.1.112
  • G. Szegö, Über eine Eigenschaft der Exponentialreihe, S.-B. Berlin Math. Ges. 23 (1924), 50-64. M. Tsuji, On the distribution of zero points of sections of a power series. III, Japan. J. Math. 3 (1926), 49-52. G. Valiron, Lectures on the general theory of integral functions, Privat, Toulouse, 1923.
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 117 (1965), 157-166
  • MSC: Primary 30.20
  • DOI: https://doi.org/10.1090/S0002-9947-1965-0170004-9
  • MathSciNet review: 0170004