Abstract
The following relation holds: ( ( q 1 / 2 + q − 1 / 2 2 ) 2 − 1 ) 2 ( x 2 − ( q 1 / 2 + q − 1 / 2 2 ) 2 ) ( 1 − x 2 ) D q 2 P n ( x ; 1 , q 1 / 2 , 0 , 0 | q ) = ∑ j = − 4 2 a n , j P n + j ( x ; 1 , q 1 / 2 , 0 , 0 | q ) ( a n , − 4 ≠ 0 ) , P n ( x ; a , b , c , d | q ) being the monic Askey–Wilson polynomials.
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