On Certain Series of Hecke-Type

New Zealand journal of mathematics(2020)

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摘要
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this article, we prove Lovejoy’s identities using transformation formulas for q-series discovered by Z.G. Liu in 2013. Some new Hecke-type series are also derived. Our approach also allows us to derive some new Hecke-type identities.
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关键词
certain series,hecke-type
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