Formula:6198

Digital Library of Mathematical Functions ID 18.2.E10

${\displaystyle{\displaystyle xp_{n}(x)=a_{n}p_{n+1}(x)+b_{n}p_{n}(x)+c_{n}p_{n-1}(x),}}$

Constraint(s)

${\displaystyle{\displaystyle n\geq 0}}$

Symbols List

• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle a_{n}}}$: real constant
• ${\displaystyle{\displaystyle b_{n}}}$: real constant
• ${\displaystyle{\displaystyle c_{n}}}$: real constant
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.