On the growth of certain meromorphic solutions of arbitrary second order algebraic differential equations
Author:
Steven Bank
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
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Abstract | References | Similar Articles | Additional Information
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 $z,y,dy/dz, \cdots ,{d^n}y/d{z^n})$.
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Additional Information
Keywords:
Algebraic differential equations,
differential polynomials,
growth of meromorphic functions,
meromorphic solutions,
Nevanlinna characteristic,
exponent of convergence
Article copyright:
© Copyright 1970
American Mathematical Society