The influence of transformations on the h-index and the g-index

Abstract

In a previous paper we introduced a general transformation on sources and one on items in an arbitrary information production process (IPP). In this paper we investigate the influence of these transformations on the h-index and on the g-index. General formulae that describe this influence are presented. These are applied to the case that the size-frequency function is Lotkaian (i.e. is a decreasing power function). We further show that the h-index of the transformed IPP belongs to the interval bounded by the 2 transformations of the h-index of the original IPP and we also show that this property is not true for the g-index.