Q-hypergeometric double sums as mock theta functions
|Title:||Q-hypergeometric double sums as mock theta functions||Authors:||Lovejoy, Jeremy
|Permanent link:||http://hdl.handle.net/10197/7954||Date:||2013||Abstract:||Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums. We also prove an identity between one of these sums and two classical mock theta functions introduced by Gordon and McIntosh.||Type of material:||Journal Article||Publisher:||Mathematical Science Publishers||Journal:||Pacific Journal of Mathematics||Volume:||264||Issue:||1||Start page:||151||End page:||162||Keywords:||Q-hypergeometric series; Mock theta functions; Appell–Lerch series; Hecke-type double sums||DOI:||10.2140/pjm.2013.264.151||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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