Formula:6187

Digital Library of Mathematical Functions ID 18.2.E1

${\displaystyle{\displaystyle\int_{a}^{b}p_{n}(x)p_{m}(x)w(x)\mathrm{d}x=0,}}$

Constraint(s)

${\displaystyle{\displaystyle n\neq m}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle w(x)}}$: weight function
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle a}}$: interval endpoint
• ${\displaystyle{\displaystyle b}}$: interval endpoint
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.