Arithmetic differential equations and $E$-functions
Manjra, Said
Illinois J. Math., Tome 49 (2005) no. 2, p. 1061-1092 / Harvested from Project Euclid
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Let $K$ be a number field. We give an arithmetic characterization at infinity of the differential operator of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function. Such an operator is called an $E$-operator.
Publié le : 2005-10-15
Classification:  12H25,  13N10 
@article{1258138127,
     author = {Manjra, Said},
     title = {Arithmetic differential equations and $E$-functions},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 1061-1092},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138127}
}

Manjra, Said. Arithmetic differential equations and $E$-functions. Illinois J. Math., Tome 49 (2005) no. 2, pp.  1061-1092. http://gdmltest.u-ga.fr/item/1258138127/