On Certain Series of Hecke-Type
Keywords:q-series, Rogers' summation formula, Hecke-type series
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.