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- Holonomic_function abstract "In mathematics, a holonomic function is a smooth function in 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 holonomic module of smooth functions. Holonomic functions can also be described as differentiably finite functions, also known as D-finite functions. When a power series in the variables is the Taylor expansion of a holonomic function, the sequence of its coefficients, in one or several indices, is also called holonomic. Holonomic sequences are also called P-recursive sequences: they are defined recursively by multivariate recurrences satisfied by the whole sequence and by suitable specializations of it. The situation simplifies in the univariate case: any univariate sequence that satisfies a linear homogeneous recurrence relation with polynomial coefficients, or equivalently a linear homogeneous difference equation with polynomial coefficients, is holonomic.".
- Holonomic_function wikiPageExternalLink mgfun.html.
- Holonomic_function wikiPageExternalLink libraries.
- Holonomic_function wikiPageExternalLink ?page_id=48.
- Holonomic_function wikiPageExternalLink HolonomicFunctions.
- Holonomic_function wikiPageID "5817043".
- Holonomic_function wikiPageLength "11682".
- Holonomic_function wikiPageOutDegree "39".
- Holonomic_function wikiPageRevisionID "705773243".
- Holonomic_function wikiPageWikiLink Airy_function.
- Holonomic_function wikiPageWikiLink Algebraic_function.
- Holonomic_function wikiPageWikiLink Alternating_permutation.
- Holonomic_function wikiPageWikiLink Bernoulli_number.
- Holonomic_function wikiPageWikiLink Bessel_function.
- Holonomic_function wikiPageWikiLink Binomial_coefficient.
- Holonomic_function wikiPageWikiLink Category:Ordinary_differential_equations.
- Holonomic_function wikiPageWikiLink Category:Special_functions.
- Holonomic_function wikiPageWikiLink Cauchy_product.
- Holonomic_function wikiPageWikiLink Chebyshev_polynomials.
- Holonomic_function wikiPageWikiLink Closure_(mathematics).
- Holonomic_function wikiPageWikiLink D-module.
- Holonomic_function wikiPageWikiLink Differential_operator.
- Holonomic_function wikiPageWikiLink Error_function.
- Holonomic_function wikiPageWikiLink Factorial.
- Holonomic_function wikiPageWikiLink Fibonacci_number.
- Holonomic_function wikiPageWikiLink Field_(mathematics).
- Holonomic_function wikiPageWikiLink Formal_power_series.
- Holonomic_function wikiPageWikiLink Generalized_hypergeometric_function.
- Holonomic_function wikiPageWikiLink Generating_function.
- Holonomic_function wikiPageWikiLink Harmonic_number.
- Holonomic_function wikiPageWikiLink Heun_function.
- Holonomic_function wikiPageWikiLink Ideal_(ring_theory).
- Holonomic_function wikiPageWikiLink Legendre_polynomials.
- Holonomic_function wikiPageWikiLink Linear_differential_equation.
- Holonomic_function wikiPageWikiLink Maple_(software).
- Holonomic_function wikiPageWikiLink Mathematica.
- Holonomic_function wikiPageWikiLink Motzkin_number.
- Holonomic_function wikiPageWikiLink Orthogonal_polynomials.
- Holonomic_function wikiPageWikiLink Partition_(number_theory).
- Holonomic_function wikiPageWikiLink Prime_number.
- Holonomic_function wikiPageWikiLink Recurrence_relation.
- Holonomic_function wikiPageWikiLink Ring_(mathematics).
- Holonomic_function wikiPageWikiLink Shift_operator.
- Holonomic_function wikiPageWikiLink Special_functions.
- Holonomic_function wikiPageWikiLink Symbolic_computation.
- Holonomic_function wikiPageWikiLink Transcendental_function.
- Holonomic_function wikiPageWikiLinkText "Holonomic function".
- Holonomic_function wikiPageWikiLinkText "Holonomic sequences".
- Holonomic_function wikiPageWikiLinkText "holonomic functions".
- Holonomic_function wikiPageWikiLinkText "holonomic".
- Holonomic_function wikiPageUsesTemplate Template:Cite_book.
- Holonomic_function wikiPageUsesTemplate Template:Empty_section.
- Holonomic_function wikiPageUsesTemplate Template:Reflist.
- Holonomic_function subject Category:Ordinary_differential_equations.
- Holonomic_function subject Category:Special_functions.
- Holonomic_function hypernym Function.
- Holonomic_function type Disease.
- Holonomic_function type Type.
- Holonomic_function type Combinatoric.
- Holonomic_function type Function.
- Holonomic_function type Relation.
- Holonomic_function type Type.
- Holonomic_function comment "In mathematics, a holonomic function is a smooth function in 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 holonomic module of smooth functions. Holonomic functions can also be described as differentiably finite functions, also known as D-finite functions.".
- Holonomic_function label "Holonomic function".
- Holonomic_function sameAs Q5884209.
- Holonomic_function sameAs m.0l8m9x_.
- Holonomic_function sameAs Q5884209.
- Holonomic_function wasDerivedFrom Holonomic_function?oldid=705773243.
- Holonomic_function isPrimaryTopicOf Holonomic_function.