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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.

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On the oscillation theory of $f^{\prime \prime }+Af=0$ where $A$ is entire
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by Steven B. Bank and Ilpo Laine PDF
Trans. Amer. Math. Soc. 273 (1982), 351-363 Request permission

Abstract:

In this paper, we investigate the distribution of zeros of solutions of $f'' + A(z)f = 0$. More specifically, results are obtained concerning the exponent of convergence of the zero-sequence of a solution in both the case where $A(z)$ is a polynomial, and the case where $A(z)$ is transcendental.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 273 (1982), 351-363
  • MSC: Primary 34A20; Secondary 30D20
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0664047-6
  • MathSciNet review: 664047