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) : Yang,Chung-Chun

Report Date : 26 MAY 1971

Pagination or Media Count : 13

Abstract : The rate of growth of meromorphic functions f, which are solutions of algebraic differential equations whose coefficients a(z) are arbitrary meromorphic functions, is investigated. By a method based on Nevanlinna's theory of meromorphic functions, it has been shown that if f'/f has infinity as its Nevanlinna exceptional values, then the ratio T(r, f'/f)/T(r, a(z)), as r approaches infinity outside a set of r values of finite measure, is bounded for at least one of the coefficients a(z). (Author)

Descriptors :   (*MEROMORPHIC FUNCTIONS, DIFFERENTIAL EQUATIONS), COMPLEX VARIABLES, NUMERICAL INTEGRATION, POLYNOMIALS, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE