Some structural results on \(\mathrm{D}^n\)-finite functions

DOI10.1016/j.aam.2020.102027zbMath1480.12006OpenAlexW3011378521MaRDI QIDQ2307438

Veronika Pillwein, Antonio Jiménez-Pastor, Michael F. Singer

Publication date: 27 March 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2020.102027

zbMATH Keywords

Picard-Vessiot closure$D^n$-finite functionsdifferentially definable functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30) Differential algebra (12H05)

Related Items (4)

On the exponential generating function of labelled trees ⋮ A symbolic-numeric validation algorithm for linear ODEs with Newton-Picard method ⋮ DD-finite functions in Sage ⋮ DD-Finite Functions Implemented in Sage

Uses Software

• gfun
• SageMath
• DLMF
• GeneratingFunctions
• dd_functions
• ore_algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• Differentiably finite power series
• NIST digital library of mathematical functions
• Ore Polynomials in Sage
• Picard-Vessiot Extensions of Real Differential Fields
• GFUN
• Algorithmic Arithmetics with DD-Finite Functions
• The Holonomic Toolkit

This page was built for publication: Some structural results on \(\mathrm{D}^n\)-finite functions