Geodesic
On a Problem of Rubel Concerning the Set of Functions Satisfying All the Algebraic Differential Equations Satisfied by a Given Function
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 214-224

Voir la notice de l'article provenant de la source Cambridge University Press

For two functions $f$ and $g$ , define $g\ll f$ to mean that $g$ satisfies every algebraic differential equation over the constants satisfied by $f$ . The order $\ll $ was introduced in one of a set of problems on algebraic differential equations given by the late Lee Rubel. Here we characterise the set of $g$ such that $g\ll f$ , when $f$ is a given Liouvillian function.
DOI : 10.4153/CMB-1998-031-0
Mots-clés : 34A34, 12H05 
Shackell, John. On a Problem of Rubel Concerning the Set of Functions Satisfying All the Algebraic Differential Equations Satisfied by a Given Function. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 214-224. doi: 10.4153/CMB-1998-031-0
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