On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients
- 1 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 49, 53-65
- https://doi.org/10.1017/s0027763000015270
Abstract
In this paper, we treat the problem of determining the rate of growth of meromorphic functions on the plane, which are solutions of nth order algebraic differential equations whose coefficients are arbitrary entire functions (i.e., equations of the form, Ω(z,y,dy/dz, • • •, dny/dzn) — 0, where Ω is a polynomial in y, dy/dz, • • •, dny/dzn whose coefficients are arbitrary entire functions of z.)Keywords
This publication has 4 references indexed in Scilit:
- On certain solutions of algebraic differential equationsPublished by Springer Nature ,1971
- On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire FunctionsNagoya Mathematical Journal, 1970
- Analytic FunctionsPublished by Springer Nature ,1970
- Uber ganze Lösungen linearer DifferentialgleichungenArchiv der Mathematik, 1967