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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE