### A note on an identity of Andrews.

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In this paper, we first give several operator identities which extend the results of Chen and Liu, then make use of them to two $q$-series identities obtained by the Euler expansions of ${(a;q)}_{\infty}$ and $\frac{1}{{(a;q)}_{\infty}}$. Several $q$-series identities are obtained involving a $q$-series identity in Ramanujan’s Lost Notebook.

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