The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy

We express a family of Hecke–Appell-type sums of Hikami and Lovejoy in terms of mixed mock modular forms; in particular, we express the sums in terms of Appell functions and theta functions. Hikami and Lovejoy’s family of Hecke–Appell-type sums was obtained by considering certain duals of generalized quantum modular forms.