On Certain Series of Hecke-Type

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...

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Bibliographic Details
Published in:New Zealand journal of mathematics 2020-03, Vol.48, p.1-10
Main Authors: Chan, Heng Huat, Liu, Zhi-Guo
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:1179-4984
1179-4984
DOI:10.53733/22