DD-finite functions in Sage

zbMath1436.05011MaRDI QIDQ2306447

Antonio Jiménez-Pastor

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//101.html

zbMATH Keywords

generating functionsclosure propertiesformal power seriesholonomicD-finite

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Software, source code, etc. for problems pertaining to combinatorics (05-04)

Uses Software

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

Cites Work

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• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• Differentiably finite power series
• Some structural results on \(\mathrm{D}^n\)-finite functions
• A computable extension for D-finite functions: DD-finite functions
• Ore Polynomials in Sage
• GFUN
• Algorithmic Arithmetics with DD-Finite Functions
• Advanced applications of the holonomic systems approach

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