Formula:6538

Digital Library of Mathematical Functions ID 18.20.E1

${\displaystyle{\displaystyle p_{n}(x)=\frac{1}{\kappa_{n}w_{x}}\nabla_{x}^{n}\left(w_{x}\prod_{\ell=0}^{n-1}F(x+\ell)\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\in X}}$

Symbols List

• ${\displaystyle{\displaystyle\nabla_{\NVar{x}}}}$:
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle w_{x}}}$: weights
• ${\displaystyle{\displaystyle X}}$: subset of R
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle F(x)}}$: coefficient
• ${\displaystyle{\displaystyle\kappa_{n}}}$: coefficient
 

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