DLMF:18.7.E21

MaRDI QIDQ6286

• Label: DLMF:18.7.E21

Digital Library of Mathematical Functions ID 18.7.E21

${\displaystyle{\displaystyle\lim_{\beta\to\infty}P^{(\alpha,\beta)}_{n}\left(1-(\ifrac{2x}{\beta})\right)=L^{(\alpha)}_{n}\left(x\right).}}$

Symbols List

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

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