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On the 4-dissections of certain infinite products

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Abstract

In this note, we give a generalization of Hirschhorn’s formulas on the 4-dissections of Ramanujan’s continued fraction R(q) and R −1(q) which were conjectured by Hirschhorn and proved by Lewis and Liu.

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Correspondence to Ernest X. W. Xia.

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This work was supported by the National Natural Science Foundation of China and the Jiangsu University Foundation Grant 11JDG036.

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Yao, O.X.M., Xia, E.X.W. On the 4-dissections of certain infinite products. Ramanujan J 30, 1–7 (2013). https://doi.org/10.1007/s11139-012-9385-7

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  • DOI: https://doi.org/10.1007/s11139-012-9385-7

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