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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Construction of a differential equation $y”+Ay=0$ with solutions having the prescribed zeros
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by Li-Chien Shen
Proc. Amer. Math. Soc. 95 (1985), 544-546
DOI: https://doi.org/10.1090/S0002-9939-1985-0810160-8
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Abstract:

We show that an entire function $A(z)$ can be constructed so that the differential equation $y'' + Ay = 0$ has two linearly independent solutions having the prescribed points as their only zeros.
References
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 544-546
  • MSC: Primary 34A20; Secondary 30D20
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0810160-8
  • MathSciNet review: 810160