Zagier-type dualities and lifting maps for harmonic Maass–Jacobi forms

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Partial theta functions and mock modular forms as q-hypergeometric series (2011, background): “[11] K. Bringmann and O. Richter, Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms.”
Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, background): “rty (4.4) and a theta expansion as in (4.10), and that also satises the same cusp conditions (4.5) (resp. (4.7)) as in 14There are more general denitions of mock Jacobi forms in the literature (see [14], [23]) in which the completion is non-holomorphic in zas well as in ˝, but they will not be used ”