h指数于2005年被发现后，很快成为学术热点。作为其理论解释，已有三种代表性静态数学模型，它们分别是Hirsch原始模型[1]，Egghe-Rousseau模型[2]和Glänzel-Schubert模型[3-4]。历经数年探寻[5]，发现在Heaps law成立下可以三式归一统，详见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

Refs.:

[1]Hirsch, J. E. An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences of the USA, 2005, 102(46): 16569-16572

[2]Egghe, L.and Rousseau, R. An informetric model for the Hirsch-index. Scientometrics, 2006, 69(1): 121-129

[3]Glänzel, W. On the h-index – A mathematical approach to a new measure of publication activity and citation impact. Scientometrics, 2006, 67(2): 315-321

[4]Schubert, A. and Glänzel, W. A systematic analysis of Hirsch-type indices for journals. Journal of Informetrics, 2007, 1(2): 179-184