We give a heuristic proof of the relation between the impact factor (IF) and the uncitedness factor (U), the fraction of the papers that are uncited:U=11+IF

Evolution of information production processes (IPPs) can be described by a general transformation function for the sources and for the items. It generalises the Fellman–Jakobsson transformation which only works on the items.

The minimum configuration to have a h-index equal to h is h papers each having h citations, hence h2 citations in total. To increase the h-index to h+1 we minimally need (h+1)2 citations, an increment of I1(h)=2h+1. The latter number increases with 2 per unit increase of h. This increment of the...

Each information production process has a unique h-index. This paper studies the problem: what are possible h-index values if we merge two or more IPPs?

General results on transformations on information production processes (IPPs), involving transformations of the h-index and related indices, are applied in concrete, simple cases: doubling the production per source, doubling the number of sources, doubling the number of sources but halving their...

We show mathematically that the success-index can be any of the following impact indices, dependent on the value of the threshold used in the definition of the success-index: Hirsch-index (h-index), g-index, generalized Wu- and Kosmulski-indices, the average.

In this paper, we define a First-Citation-Speed-Index (FCSI) for a set of papers, based on their times of publication and of first citation. The index is based on the definition of a h-index for increasing sequences.

We define the generalized Wu- and Kosmulski-indices, allowing for general parameters of multiplication or exponentiation. We then present formulae for these generalized indices in a Lotkaian framework.

A probabilistic model is presented to estimate the number of lost multi-copy documents, based on retrieved ones. For this, we only need the number of retrieved documents of which we have one copy and the number of retrieved documents of which we have two copies. If we also have the number of...

The recently awakened discussion on the usability of averages of ratios (AoR) compared to ratios of averages (RoA) has led to the mathematical results in this paper. Based on the empirical results in Larivière and Gingras (2011) we prove, under reasonable conditions, the following relations...