Accession Number:
AD0726410
Title:
Meromorphic Solutions of Generalized Algebraic Differential Equations.
Descriptive Note:
Final rept.,
Corporate Author:
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
Personal Author(s):
Report Date:
1971-05-26
Pagination or Media Count:
13.0
Abstract:
The rate of growth of meromorphic functions f, which are solutions of algebraic differential equations whose coefficients az are arbitrary meromorphic functions, is investigated. By a method based on Nevanlinnas theory of meromorphic functions, it has been shown that if ff has infinity as its Nevanlinna exceptional values, then the ratio Tr, ffTr, az, as r approaches infinity outside a set of r values of finite measure, is bounded for at least one of the coefficients az. Author
Descriptors:
Subject Categories:
- Numerical Mathematics