Formula:6194

Digital Library of Mathematical Functions ID 18.2.E8

${\displaystyle{\displaystyle p_{n+1}(x)=(A_{n}x+B_{n})p_{n}(x)-C_{n}p_{n-1}(x),}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle B_{n}}}$: real constant
• ${\displaystyle{\displaystyle C_{n}}}$: real constant
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle A_{n}}}$: real constant
 

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