Formula:6557

Digital Library of Mathematical Functions ID 18.21.E7

${\displaystyle{\displaystyle\lim_{\beta\to\infty}M_{n}\left(x;\beta,a(a+\beta)^{-1}\right)=C_{n}\left(x;a\right).}}$

Symbols List

• ${\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}$: Charlier 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
 

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