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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 wikiPageRevisionID "603032061".
- Holonomic_function hasPhotoCollection Holonomic_function.
- Holonomic_function subject Category:Ordinary_differential_equations.
- Holonomic_function subject Category:Special_functions.
- 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 m.0l8m9x_.
- Holonomic_function sameAs Q5884209.
- Holonomic_function sameAs Q5884209.
- Holonomic_function wasDerivedFrom Holonomic_function?oldid=603032061.
- Holonomic_function isPrimaryTopicOf Holonomic_function.