DOI

Using results from Ramanujan's lost notebook, Zudilin recently gave an insightful proof of a radial limit result of Folsom et al. for mock theta functions. Here we see that Mortenson's previous work on the dual nature of Appell-Lerch sums and partial theta functions and on constructing bilateral q-series with mixed mock modular behaviour is well suited for such radial limits. We present five more radial limit results, which follow from mixed mock modular bilateral q-hypergeometric series. We also obtain the mixed mock modular bilateral series for a universal mock theta function of Gordon and McIntosh. The later bilateral series can be used to compute radial limits for many classical second-, sixth-, eighth-and tenth-order mock theta functions.
Язык оригиналаанглийский
Страницы (с-по)787-799
Число страниц13
ЖурналProceedings of the Edinburgh Mathematical Society
Том59
Номер выпуска3
DOI
СостояниеОпубликовано - 1 авг 2016

ID: 126317086