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

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On the growth of certain meromorphic solutions of arbitrary second order algebraic differential equations
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by Steven Bank
Proc. Amer. Math. Soc. 25 (1970), 791-797
DOI: https://doi.org/10.1090/S0002-9939-1970-0262499-4

Abstract:

In this note, we present two results concerning meromorphic functions on the whole finite plane, which are solutions of algebraic differential equations (i.e., equations of the form $\Omega (z,y,dy/dz, \cdots ,{d^n}y/d{z^n}) = 0$, where $\Omega$ is a polynomial in $z,y,dy/dz, \cdots ,{d^n}y/d{z^n})$.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 791-797
  • MSC: Primary 30.61; Secondary 34.00
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0262499-4
  • MathSciNet review: 0262499