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

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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.

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Acknowledgments

The author is grateful to two anonymous referees who gave many comments to improve the paper.

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  1. L. Egghe

    Present address: Universiteit Hasselt (UHasselt), Campus Diepenbeek, Agoralaan, Diepenbeek, 3590, Belgium

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  1. Universiteit Antwerpen (UA), Stadscampus, Venusstraat 35, 2000, Antwerpen, Belgium

    L. Egghe

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  1. L. Egghe
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Correspondence to L. Egghe.

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Egghe, L. Mathematical derivation of the scale-dependence of the h-index and other h-type indices. Scientometrics 87, 287–292 (2011). https://doi.org/10.1007/s11192-010-0327-0

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