Geodesic
Several $q$-series identities from the Euler expansions of $(a;q)_{\infty }$ and $\frac{1}{(a;q)_{\infty }}$
Archivum mathematicum, Tome 45 (2009) no. 1, pp. 47-58.

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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.
Classification : 05A30, 33D15, 33D60
Keywords: exponential operator; operator identity; $q$-series identity 
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     title = {Several $q$-series identities from the {Euler} expansions of $(a;q)_{\infty }$ and $\frac{1}{(a;q)_{\infty }}$},
     journal = {Archivum mathematicum},
     pages = {47--58},
     publisher = {mathdoc},
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     zbl = {1212.05017},
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}
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Zhang, Zhizheng; Yang, Jizhen. Several $q$-series identities from the Euler expansions of $(a;q)_{\infty }$ and $\frac{1}{(a;q)_{\infty }}$. Archivum mathematicum, Tome 45 (2009) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/ARM_2009__45_1_a3/