Jacobi polynomial · LibMeta · SciLib
Special functions ConceptSKOS conceptSpecial function

Jacobi polynomial

http://libmeta.ru/thesaurus/concept/specfunc_149

Definition

$P_{n}^{(\alpha ,\beta )}(z)=\frac{1}{n!}\sum_{k=0}^{n}\frac{ (-n)_{k}(\alpha +\beta +n+1)_{k}(a+k+1)_{n-k}}{k!}\left( \frac{1-z}{2} \right) ^{k} $

Definition article

$P_{n}^{(\alpha ,\beta )}(z)=\frac{1}{n!}\sum_{k=0}^{n}\frac{ (-n)_{k}(\alpha +\beta +n+1)_{k}(a+k+1)_{n-k}}{k!}\left( \frac{1-z}{2} \right) ^{k} $

Данные

notationspecfunc_149

MSC

Входящие связи

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