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Q-hypergeometric double sums as mock theta functions
| 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 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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