On a formula for the h-index

作者：

Highlights：

• We summarize the most commonly used mathematical models for the h index.

• A new mathematical model for the h index is proposed.

• The new formula is based on the assumption of geometrically distributed citations.

• The effectiveness of our approach is illustrated through a case study.

摘要

•We summarize the most commonly used mathematical models for the h index.•A new mathematical model for the h index is proposed.•The new formula is based on the assumption of geometrically distributed citations.•The effectiveness of our approach is illustrated through a case study.

论文关键词：h-Index,Citation data,Citation statistic,Geometric distribution,Lambert W function

论文评审过程：Received 24 May 2015, Revised 25 June 2015, Accepted 13 July 2015, Available online 1 September 2015, Version of Record 1 September 2015.

论文官网地址：https://doi.org/10.1016/j.joi.2015.07.004