Title: Taylor coefficients of non-holomorphic Jacobi forms and applications,
Abstract: In this paper, we prove modularity results of Taylor coefficients of certain
non-holomorphic Jacobi forms. It is well-known that Taylor coefficients of
holomorphic Jacobi forms are quasimoular forms. However recently there has been
a wide interest for Taylor coefficients of non-holomorphic Jacobi forms for
example arising in combinatorics. In this paper, we show that such coefficients
still inherit modular properties. We then work out the precise spaces in which
these coefficients lie for two examples.