On the exponential generating function of labelled trees

We show that the generating function of labelled trees is not ${\rm D}^\infty $-finite.

Bibliographic Details
Main Authors: Bostan, Alin, Jiménez-Pastor, Antonio
Format: Article
Language:English
Published: Académie des sciences 2021-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.108/
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author Bostan, Alin
Jiménez-Pastor, Antonio
author_facet Bostan, Alin
Jiménez-Pastor, Antonio
author_sort Bostan, Alin
collection DOAJ
description We show that the generating function of labelled trees is not ${\rm D}^\infty $-finite.
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spelling doaj.art-33238a4801c34e52b117992086eb16702023-10-24T14:18:48ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-01-013589-101005100910.5802/crmath.10810.5802/crmath.108On the exponential generating function of labelled treesBostan, Alin0Jiménez-Pastor, Antonio1Inria, 1 rue Honoré d’Estienne d’Orves 91120 Palaiseau, FranceJohannes Kepler University Linz, Doctoral Program Computational Mathematics, DK15We show that the generating function of labelled trees is not ${\rm D}^\infty $-finite.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.108/
spellingShingle Bostan, Alin
Jiménez-Pastor, Antonio
On the exponential generating function of labelled trees
Comptes Rendus. Mathématique
title On the exponential generating function of labelled trees
title_full On the exponential generating function of labelled trees
title_fullStr On the exponential generating function of labelled trees
title_full_unstemmed On the exponential generating function of labelled trees
title_short On the exponential generating function of labelled trees
title_sort on the exponential generating function of labelled trees
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.108/
work_keys_str_mv AT bostanalin ontheexponentialgeneratingfunctionoflabelledtrees
AT jimenezpastorantonio ontheexponentialgeneratingfunctionoflabelledtrees