Formula:6202

Digital Library of Mathematical Functions ID 18.2.E12

${\displaystyle{\displaystyle\sum_{\ell=0}^{n}\frac{p_{\ell}(x)p_{\ell}(y)}{h_{\ell}}=\frac{k_{n}}{h_{n}k_{n+1}}\frac{p_{n+1}(x)p_{n}(y)-p_{n}(x)p_{n+1}(y)}{x-y},}}$

Constraint(s)

${\displaystyle{\displaystyle x\neq y}}$

Symbols List

• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle h_{n}}}$: 18.2.E5
• ${\displaystyle{\displaystyle k_{n}}}$: 18.2.E7
 

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