Title
Mathematical relations of the h-index with other impact measures in a Lotkaian framework
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Oxford ,
Subject
Mathematics
Source (journal)
Mathematical and computer modelling. - Oxford
Volume/pages
53(2011) :5/6 , p. 610-616
ISSN
0895-7177
ISI
000286458200008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In a Lotkaian framework there exist formulae for impact measures such as the h-index, g-index, R-index and Randićs 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 Randić 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 π-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 π- or View the MathML source-index.
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