  In this paper, we investigate Fourier expansions of meromorphic modular
forms. Over the years, a number of special cases of meromorphic modular forms
were shown to have Fourier expansions closely resembling the expansion of the
reciprocal of the weight $6$ Eisenstein series which was computed by Hardy and
Ramanujan. By investigating meromorphic modular forms within a larger space of
so-called polar harmonic Maass forms, we prove in this paper that all
negative-weight meromorphic modular forms (and furthermore all quasi-meromorpic
modular forms) have Fourier expansions of this type, granted that they are
bounded towards $i\infty$.
