apparent h-index
The apparent h-index (Mohammed et al. 2020) is simply the h-index times the proportion of publications that have at least one citation; it is similar to the normalized h-index.
$$h_A=h \frac{P_{\textrm{non-zero cites}}}{P}.$$Example
Publications are ordered by number of citations, from highest to lowest.
| Citations (Ci) | 47 | 26 | 19 | 15 | 11 | 10 | 4 | 3 | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| h = 6 |
The h-index is 6. Of the 18 publications, 13 have at least one citation. The apparent h-index is therefore 6×13/18 = 4.333333333333333
History
| Year | hA |
|---|---|
| 1997 | 0.3333 |
| 1998 | 1.2500 |
| 1999 | 2.3333 |
| 2000 | 2.5000 |
| 2001 | 4.3333 |
| 2002 | 6.5455 |
| 2003 | 8.8846 |
| 2004 | 9.9310 |
| 2005 | 12.4286 |
| 2006 | 14.6389 |
| 2007 | 15.5897 |
| 2008 | 17.9268 |
| 2009 | 20.5556 |
| 2010 | 22.4314 |
| 2011 | 24.2545 |
| 2012 | 28.0000 |
| 2013 | 27.1452 |
| 2014 | 30.2812 |
| 2015 | 30.8209 |
| 2016 | 30.9420 |
| 2017 | 32.7714 |
| 2018 | 31.5733 |
| 2019 | 32.6184 |
| 2020 | 33.5584 |
| 2021 | 35.4430 |
| 2022 | 35.6310 |
| 2023 | 36.5647 |
| 2024 | 36.1395 |
References
- Mohammed, S., A. Morgan, and E. Nyantakyi (2020) On the influence of uncited publications on a researcher's h‑index. Scientometrics.