The Ramanujan Journal

, Volume 14, Issue 1, pp 173–188

The Bailey transform and false theta functions

Authors

  • George E. Andrews
    • The Pennsylvania State University
    • Department of Mathematics and StatisticsThe University of Melbourne
Article

DOI: 10.1007/s11139-006-9006-4

Cite this article as:
Andrews, G.E. & Warnaar, S.O. Ramanujan J (2007) 14: 173. doi:10.1007/s11139-006-9006-4

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.

Keywords

RamanujanFalse theta seriesBailey transformBailey pair

Copyright information

© Springer Science+Business Media, LLC 2006