Q-hypergeometric double sums as mock theta functions

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Title: Q-hypergeometric double sums as mock theta functions
Authors: Lovejoy, Jeremy
Osburn, Robert
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 seriesMock theta functionsAppell–Lerch seriesHecke-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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