Formula:10227

Digital Library of Mathematical Functions ID 33.6.E3

${\displaystyle{\displaystyle(k+\ell)(k-\ell-1)A_{k}^{\ell}=2\eta A_{k-1}^{\ell}-A_{k-2}^{\ell},}}$

Constraint(s)

${\displaystyle{\displaystyle k=\ell+3,\ell+4,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle\eta}}$: real parameter
• ${\displaystyle{\displaystyle A_{\ell+1}^{\ell}}}$: coefficient
 

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