In this dissertation I present studies of flavor-changing neutral Higgs interactions in a general Two Higgs Doublet Model. I focus on the analytic calculation of φ → tc and φ → τ μ where φ = h0 , H0 , A0 . In the case of the tc state we look at production from heavy Higgs states, H0 and A0 , associated production with a top from charmed initial states, and associated production of a Higgs with a charm from a tt̄ intermediate state. In the τ μ channel we only consider τ μ production from the light, or Standard Model-like, Higgs boson, h0 , and the heavy Higgs states. In all cases I present calculated discovery potentials for finding these rare, beyond Standard Model decays at the Large Hadron Collider for the 13 TeV and 14 TeV data sets with integrated luminosities of 30, 300, and 3000 fb −1 .