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The harmonic h-index: an impromevement of the Hirsch h-index and the Egghe g-index

2023/08/22 by Mestrovic, Romeo
#11B25 #11P81 #62D05 #68-11 #FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.2308.16194

Abstract

In order to characterize the scientific output of scientists, in this paper we define the harmonic har-index whose values are positive integers. It is proved that h ≤ har ≤ g, where h is the Hirsch index and g is the Egghe index. Despite the fact that the har-index is defined in a completely different way (including sum of reciprocals of citations of a researcher), based on our computatioanl results, we get the surprising fact that this index is highly correlated with the hg-index (hg=√(hg) ) introduced by Alonso et al. (2010). Accordingly, we believe that the har-index keep the advantages of both measures as well as to minimize their disadvantages. In addition, it is much easier to calculate the values of har-index than those of g-index and hg-index.

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