Mock theta double sums
|Title:||Mock theta double sums||Authors:||Lovejoy, Jeremy
|Permanent link:||http://hdl.handle.net/10197/7872||Date:||10-Jun-2016||Online since:||2016-12-10T02:00:12Z||Abstract:||We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are special cases. We also show how to use a change of base formula to pass from the pairs of Bringmann and Kane to pairs used by Andrews in his study of Ramanujan's seventh order mock theta functions. We derive several more Bailey pairs of a similar type and use these to construct a number of new q-hypergeometric double sums which are mock theta functions. Finally, we prove identities between some of these mock theta double sums and classical mock theta functions.||Type of material:||Journal Article||Publisher:||Cambridge University Press||Journal:||Glasgow Mathematical Journal||Start page:||323||End page:||348||Copyright (published version):||2016 Glasgow Mathematical Journal Trust||Keywords:||Bailey pairs; Mock theta functions; Identities||DOI:||10.1017/S0017089516000197||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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