Formula:6554

Digital Library of Mathematical Functions ID 18.21.E4

${\displaystyle{\displaystyle\lim_{N\to\infty}Q_{n}\left(x;b-1,N(c^{-1}-1),N\right)=M_{n}\left(x;b,c\right).}}$

Symbols List

• ${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{\beta},\NVar{N}\right)}}$: Hahn polynomial
• ${\displaystyle{\displaystyle M_{\NVar{n}}\left(\NVar{x};\NVar{\beta},\NVar{c}\right)}}$: Meixner polynomial
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: positive integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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