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Holonomic function

In mathematics, and more specifically in analysis, a holonomic function is a smooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension condition in terms of D-modules theory. More precisely, a holonomic function is an element of a…

Measurement, Holonomic functions and sequences in one variable & Algorithms and software

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Holonomic functions and sequences in one variable

FieldCharacteristicDifferential operatorIdealShift operator
36 related topics

Algorithms and software

Computer algebraMathematicaMaple
3 related topics

Overview

MathematicsAnalysisFunction of several variablesLinear homogeneous differential equationsD-modules
7 related topics

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Holonomic functions and sequences in one variable

Algorithms and software

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Holonomic function

Nodes50
Edges49
Triples84
Avg. degree1.96
Density0.04
Components1

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Holonomic function

Top relations

related to References · 61
Holonomic function → Algorithmic Manipulations, Algorithms, Analytic Combinatorics, Applied Mathematics, Asymptotic Estimates, Bruno, Cambridge University Press, Christian, Combinatorics, Computation, Computational, D-Finite Functions, Doron, Electronic Journal, Enumerative Combinatorics, Flajolet, Generating Functions, Gerhold, Irreducible, ISBN
related to Examples of holonomic functions and sequences · 5
Holonomic function → Ai, Airy, Bessel, Bi, Examples
see also · 5
Holonomic function → Archived, Dynamic Dictionary, Mathematical, Taylor, Wayback Machine
related to Closure properties · 4
Holonomic function → Holonomic, If, In, They
related to Algorithms and software · 3
Holonomic function → Holonomic, In, Moreover
is a · 2
Holonomic function → element of a holonomic module of smooth functions, smooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension…
related to Examples of nonholonomic functions and sequences · 1
Holonomic function → Examples

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holonomic functions displaystyle function sequence sequences also operator called coefficients annihilating examples mathbb series closure properties polynomials isbn form include

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SubjectPredicateObjectConfidenceSrc
Holonomic functionis asmooth function of several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension…0.90text
Holonomic functionis aelement of a holonomic module of smooth functions0.90text
equality testinginstance ofand the closure properties allow carrying out operations0.80text
summationinstance ofand the closure properties allow carrying out operations0.80text
integration in an algorithmic fashioninstance ofand the closure properties allow carrying out operations0.80text
Holonomic functionrelated to Algorithms and softwareHolonomic0.60section
Holonomic functionrelated to Algorithms and softwareIn0.60section
Holonomic functionrelated to Algorithms and softwareMoreover0.60section
Holonomic functionrelated to Closure propertiesHolonomic0.60section
Holonomic functionrelated to Closure propertiesIn0.60section
Holonomic functionrelated to Closure propertiesThey0.60section
Holonomic functionrelated to Closure propertiesIf0.60section

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