We rank economics departments in the Republic of Ireland according to the number of publications, number of citations, and
successive h-index of research-active staff. We increase the discriminatory power of the h1-index by introducing three generalizations, each of which is a rational number. The first (h1+) measures the excess over the actual h-index, while the other two (h1*, h1Δ) measures the distance to the next h-index. At the individual level, h* and hΔ coincide while h+ is undefined.