Mock theta double sums

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Title: Mock theta double sums
Authors: Lovejoy, Jeremy
Osburn, Robert
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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 pairsMock theta functionsIdentities
DOI: 10.1017/S0017089516000197
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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