Solutions of Linear Differential Equations in Function Fields of One Variable
- 1 January 1976
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 54 (1), 69-72
- https://doi.org/10.2307/2040752
Abstract
Formal power series techniques are used to investigate the algebraic relationships between a function satisfying a linear differential equation and its derivatives. We are able to derive some conclusions, among them that an elliptic function satisfies no linear differential equation over a liouvillian extension of the complex numbers.Keywords
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