Formula:6203

Digital Library of Mathematical Functions ID 18.2.E13

${\displaystyle{\displaystyle\sum_{\ell=0}^{n}\frac{(p_{\ell}(x))^{2}}{h_{\ell}}=\frac{k_{n}}{h_{n}k_{n+1}}{\left(p_{n+1}^{\prime}(x)p_{n}(x)-p_{n}^{\prime}(x)p_{n+1}(x)\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\ell}}$: 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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