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Mathematical informetrics: Hirsch-type equations and bundles

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  • Egghe, Leo

Abstract

We define Hirsch-type equations and bundles being common generalizations of the defining equations of e.g. Hirsch-bundles, g-bundles, and Kosmulski-bundles. In this way, common properties of all these bundles can be proved. The main result proves basic inequalities for these bundles. They form the basis for convergence results as well as for criteria for these bundles to be impact bundles.

Suggested Citation

  • Egghe, Leo, 2024. "Mathematical informetrics: Hirsch-type equations and bundles," Journal of Informetrics, Elsevier, vol. 18(1).
    • Handle: RePEc:eee:infome:v:18:y:2024:i:1:s1751157723001049
    DOI: 10.1016/j.joi.2023.101479
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    References listed on IDEAS

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    1. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. Egghe, Leo & Rousseau, Ronald, 2022. "Rank-frequency data and impact in a continuous model: Introducing impact bundles," Journal of Informetrics, Elsevier, vol. 16(3).
    3. Egghe, Leo, 2021. "A theory of pointwise defined impact measures," Journal of Informetrics, Elsevier, vol. 15(3).
    4. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    5. Egghe, Leo & Rousseau, Ronald, 2020. "Polar coordinates and generalized h-type indices," Journal of Informetrics, Elsevier, vol. 14(2).
    6. Leo Egghe & Ronald Rousseau, 2023. "Global impact measures," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(1), pages 699-707, January.
    7. Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    8. Leo Egghe, 2022. "Impact measures: What are they?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(1), pages 385-406, January.
    9. Diana Hicks & Paul Wouters & Ludo Waltman & Sarah de Rijcke & Ismael Rafols, 2015. "Bibliometrics: The Leiden Manifesto for research metrics," Nature, Nature, vol. 520(7548), pages 429-431, April.
    10. 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.
    Full references (including those not matched with items on IDEAS)

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