Mathematical relations of the h-index with other impact measures in a Lotkaian framework

Authors:
L. Egghe
Affiliations:
-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

Citing 3
Cited 0

The π-index: a new indicator for assessing scientific impact

Journal of Information Science
A rationale for the Hirsch-index rank-order distribution and a comparison with the impact factor rank-order distribution

Journal of the American Society for Information Science and Technology
The Hirsch index and related impact measures

Annual Review of Information Science and Technology

Quantified Score

Hi-index	0.98

Visualization

Abstract

In a Lotkaian framework there exist formulae for impact measures such as the h-index, g-index, R-index and Randic's H-index. Given two situations in which the h-indices are equal, we establish the functional relation of the R-, g- and H-index of Randic with the total number of papers. In all cases we have a decreasing relationship which can also be explained from a concentration point of view. Variants of relations between these measures are also proved. We also prove a Lotkaian formula for the @p-index of Vinkler. We indicate that the square root of this index is better in line with the other indices and we also show that the previously established results on the h-, g-, R- and H-index are not valid for the @p- or @p-index.