Mathematical derivation of the scale-dependence of the h-index and other h-type indices

Authors:
L. Egghe
Affiliations:
Universiteit Hasselt (UHasselt), Diepenbeek, Belgium 3590 and Universiteit Antwerpen (UA), Antwerpen, Belgium 2000
Venue:
Scientometrics
Year:
2011

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Abstract

We present a mathematical derivation of the scale-dependence of the h-index. This formula can be used in two cases: one where the units are scale-dependent and one where the units are not scale-dependent. Examples are given.