The Bailey chain and mock theta functions
|Title:||The Bailey chain and mock theta functions||Authors:||Lovejoy, Jeremy
|Permanent link:||http://hdl.handle.net/10197/7812||Date:||May-2013||Abstract:||Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct families of q-hypergeometric multisums which are mock theta functions. We also prove identities involving some of these multisums and certain classical mock theta functions.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Elsevier||Journal:||Advances in Mathematics||Volume:||238||Start page:||442||End page:||458||Copyright (published version):||2013 Elsevier||Keywords:||Mock theta functions; Mixed mock theta functions; Bailey pairs; Bailey chain; Ramanujans lost notebook; Partitions; Identities; Series; Forms; Sequences; Rank||DOI:||10.1016/j.aim.2013.02.005||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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