Formula:6630

Digital Library of Mathematical Functions ID 18.26.E4

${\displaystyle{\displaystyle R_{n}\left(y(y+\gamma+\delta+1);\gamma,\delta,N\right)={{}_{3}F_{2}}\left({-n,-y,y+\gamma+\delta+1\atop\gamma+1,-N};1\right),}}$

Constraint(s)

${\displaystyle{\displaystyle n=0,1,\dots,N}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$: alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
• ${\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{\delta},\NVar{N}\right)}}$: dual Hahn polynomial
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: positive integer
• ${\displaystyle{\displaystyle\delta}}$: arbitary small positive constant
 

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