On the algebraic dependence of holonomic functions
Résumé
We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and are algebraically dependent, we give conditions on the differential Galois group associated to f guaranteeing that g is a polynomial in f. We apply this to hypergeometric functions and iterated integrals.
Origine | Fichiers produits par l'(les) auteur(s) |
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