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
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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