Formula:6643

Digital Library of Mathematical Functions ID 18.26.E17

${\displaystyle{\displaystyle\frac{\Delta_{y}\left(R_{n}\left(y(y+\gamma+\delta+1);\gamma,\delta,N\right)\right)}{\Delta_{y}\left(y(y+\gamma+\delta+1)\right)}=-\frac{n}{(\gamma+1)N}\*R_{n-1}\left(y(y+\gamma+\delta+2);\gamma+1,\delta,N-1\right).}}$

Symbols List

• ${\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{\delta},\NVar{N}\right)}}$: dual Hahn polynomial
• ${\displaystyle{\displaystyle\Delta}}$:
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: positive integer
• ${\displaystyle{\displaystyle\delta}}$: arbitary small positive constant
 

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