Solutions of linear differential equations in function fields of one variable
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- by Michael F. Singer
- Proc. Amer. Math. Soc. 54 (1976), 69-72
- DOI: https://doi.org/10.1090/S0002-9939-1976-0387260-7
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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.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 69-72
- DOI: https://doi.org/10.1090/S0002-9939-1976-0387260-7
- MathSciNet review: 0387260