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

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  • L. Egghe

    (Universiteit Hasselt (UHasselt)
    Universiteit Antwerpen (UA))

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.

Suggested Citation

  • L. Egghe, 2011. "Mathematical derivation of the scale-dependence of the h-index and other h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 287-292, May.
    • Handle: RePEc:spr:scient:v:87:y:2011:i:2:d:10.1007_s11192-010-0327-0
    DOI: 10.1007/s11192-010-0327-0
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    References listed on IDEAS

    as
    1. Bornmann, Lutz & Daniel, Hans-Dieter, 2010. "The citation speed index: A useful bibliometric indicator to add to the h index," Journal of Informetrics, Elsevier, vol. 4(3), pages 444-446.
    2. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    3. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    4. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    5. L Egghe, 2010. "Mathematical results on Randić's H-index and H-sequence," Research Evaluation, Oxford University Press, vol. 19(3), pages 203-207, September.
    6. Egghe, L., 2008. "Examples of simple transformations of the h-index: Qualitative and quantitative conclusions and consequences for other indices," Journal of Informetrics, Elsevier, vol. 2(2), pages 136-148.
    7. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    8. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    9. Egghe, L., 2011. "Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems," Journal of Informetrics, Elsevier, vol. 5(3), pages 439-445.
    Full references (including those not matched with items on IDEAS)

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