Formula:6697

Digital Library of Mathematical Functions ID 18.30.E3

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

Constraint(s)

${\displaystyle{\displaystyle n=0,1,\dots}}$

Symbols List

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

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