Author: L. Egghe 1 , 2
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  • 1 Universiteit Hasselt (UHasselt), Campus Diepenbeek, Agoralaan, Diepenbeek 3590, Belgium
  • | 2 Universiteit Antwerpen (UA), Stadscampus, Venusstraat 35, 2000, Antwerpen, Belgium
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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.

  • Bornmann, L, Daniel, H-D 2010 The citation speed index: A useful bibliometric indicator to add to the h index. Journal of Informetrics 4 3 444446 .

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  • Egghe, L 2005 Power laws in the information production process: Lotkaian informetrics Elsevier Oxford, UK.

  • Egghe, L 2006 Theory and practise of the g-index. Scientometrics 69 1 131152 .

  • Egghe, L 2008 Examples of simple transformations of the h-index: qualitative and quantitative conclusions and consequences for other indices. Journal of Informetrics 2 2 136148 .

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  • Egghe, L. (2010a). The Hirsch index and related impact measures. In B. Cronin (ed.), Annual Review of Information Science and Technology (Vol. 44, pp. 65114). Medford, NJ, USA: Information Today, Inc.

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  • Egghe, L. (2010b). Mathematical results on the H-index and H-sequence of Randić. Research Evaluation, 9 (3), 203207.

  • Egghe, L. (2011). Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems (to appear).

  • Egghe, L., Bornmann, L., & Guns, R. (2010). A proposal for a first-citation-speed-index. Journal of Informetrics (to appear).

  • Egghe, L, Rousseau, R 2006 An informetric model for the Hirsch-index. Scientometrics 69 1 121129 .

  • Hirsch, J 2005 An index to quantify an individual's scientific research output. Proceedings of the National Academy of Sciences of the United States of America 102 46 1656916572 .

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  • Jin, B, Liang, L, Rousseau, R, Egghe, L 2007 The R- and AR-indices: Complementing the h-index. Chinese Science Bulletin 52 6 855863 .

  • NJ van Eck Waltman, L 2008 Generalizing the h- and g-indices. Journal of Informetrics 2 4 263271 .

  • Wu, Q 2010 The w-index: A measure to assess scientific impact by focussing on widely cited papers. Journal of the American Society for Information Science and Technology 61 3 609614.

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Manuscript submission: http://www.editorialmanager.com/scim/

  • Impact Factor (2019): 2.867
  • Scimago Journal Rank (2019): 1.210
  • SJR Hirsch-Index (2019): 106
  • SJR Quartile Score (2019): Q1 Computer Science Apllications
  • SJR Quartile Score (2019): Q1 Library and Information Sciences
  • SJR Quartile Score (2019): Q1 Social Sciences (miscellaneous)
  • Impact Factor (2018): 2.770
  • Scimago Journal Rank (2018): 1.113
  • SJR Hirsch-Index (2018): 95
  • SJR Quartile Score (2018): Q1 Library and Information Sciences
  • SJR Quartile Score (2018): Q1 Social Sciences (miscellaneous)

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Scientometrics
Language English
Size B5
Year of
Foundation
1978
Volumes
per Year
4
Issues
per Year
12
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0138-9130 (Print)
ISSN 1588-2861 (Online)