, Volume 14, Issue 1, pp 173-188
Date: 19 Jan 2007

The Bailey transform and false theta functions

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Abstract

An empirical exploration of five of Ramanujan's intriguing false theta function identities leads to unexpected instances of Bailey's transform which, in turn, lead to many new identities for both false and partial theta functions.

2000 Mathematics Subject Classification Primary—33D15, 11P83
Partially supported by National Science Foundation Grant DMS 0457003.
Supported by the Australian Research Council.