Formula:KLS:14.13:03

{\displaystyle{\displaystyle{\displaystyle q^{2n+1}(1-q^{-x})M_{n}\!\left(q^{-% x}\right){}=c(1-bq^{n+1})M_{n+1}\!\left(q^{-x}\right){}-\left[c(1-bq^{n+1})+q(% 1-q^{n})(c+q^{n})\right]M_{n}\!\left(q^{-x}\right){}+q(1-q^{n})(c+q^{n})M_{n-1% }\!\left(q^{-x}\right)}}}

Proof

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