The Hopf algebroid structure of differentially recursive sequences

DOI10.2989/16073606.2021.1885520OpenAlexW3131327550MaRDI QIDQ5081649

Paolo Saracco, Laiachi El Kaoutit

Publication date: 17 June 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08180

zbMATH Keywords

series expansionsrings of differential operatorsdifferential fieldsrecursive sequencesHurwitz seriesTaylor mapcommutative and co-commutative Hopf algebroidslinear differential matrix equations

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Linear differential equations in abstract spaces (34G10) Rings of differential operators (associative algebraic aspects) (16S32) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Differential algebra (12H05) Recursive functions and relations, subrecursive hierarchies (03D20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Hopf algebras and their applications (16T05)

Related Items (2)

On anchored Lie algebras and the Connes-Moscovici bialgebroid construction ⋮ Universal enveloping algebras of Lie-Rinehart algebras as a left adjoint functor

Cites Work

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