Partial Series of Mock Theta Functions Found in the ‘Lost' Notebook

Abstract

In two of our early papers we have studied a number of transformations connecting "partial series” derived from the mock theta functions of order 3, 5 and 7. It has been shown therein that the transformations of partial mock theta functions give valuable information regarding their structure. These transformations have also brought out new relationships between ‘partial' and ‘complete' mock theta functions which thus far were not known.