Formula:6558

Digital Library of Mathematical Functions ID 18.21.E8

${\displaystyle{\displaystyle\lim_{c\to 1}M_{n}\left((1-c)^{-1}x;\alpha+1,c\right)=\frac{L^{(\alpha)}_{n}\left(x\right)}{L^{(\alpha)}_{n}\left(0\right)}.}}$

Symbols List

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

Resources that cite this formula

No records found.