The Empirical Investigation and Theoretical Unification of Mathematical Models for the h-Index

  • Fred Y. YeEmail author
Part of the Understanding Complex Systems book series (UCS)


Among existing theoretical models for the h-index, Hirsch’s original formula, the Egghe-Rousseau model and the Glänzel-Schubert model are the three main representatives.



I acknowledge NSFC Grants (number 70773101 and number 7101017006) and am grateful to Dr. Ronald Rousseau for his comments. This chapter began in China and was completed in Germany, I thank financial support from Humboldt University and conditions provided by Prof. Stefan Hornbostel, Dr. Sybille Hinze and iFQ colleagues. This chapter is integrated and revised by merging two published papers: (1) Ye, F. Y. 2009. An investigation on mathematical models of the h-index. Scientometrics, 81 (2): 493–498; (2) Ye, F. Y. 2011. A unification of three models for the h-index. Journal of the American Society for Information Science and Technology, 62(1): 205–207.


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© Springer Nature Singapore Pte Ltd. and Science Press 2017

Authors and Affiliations

  1. 1.Nanjing UniversityNanjingChina

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