Formula:KLS:14.23:04

{\displaystyle{\displaystyle{\displaystyle q^{2n+1}(1-q^{-x})C_{n}\!\left(q^{-% x}\right){}=aC_{n+1}\!\left(q^{-x}\right)-\left[a+q(1-q^{n})(a+q^{n})\right]C_% {n}\!\left(q^{-x}\right){}+q(1-q^{n})(a+q^{n})C_{n-1}\!\left(q^{-x}\right)}}}

Proof

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