Formula:6525

Digital Library of Mathematical Functions ID 18.18.E38

${\displaystyle{\displaystyle\sum_{\ell=0}^{n}L^{(\alpha)}_{\ell}\left(x\right)L^{(\beta)}_{n-\ell}\left(y\right)=L^{(\alpha+\beta+1)}_{n}\left(x+y\right).}}$

Symbols List

• ${\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}\right)}}$: Laguerre (or generalized Laguerre) polynomial
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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