fractional p-index
The fractional p-index (Prathap 2011) is a variant of the p-index (Prathap) which attempts to account for multiple-authored publications by adjusting both citation and publication counts by author counts. It is calculated as:
$$C^{\prime}=\sum\limits_{i=1}^{P}{\frac{C_i}{A_i}}$$$$P^{\prime}=\sum\limits_{i=1}^{P}{\frac{1}{A_i}}$$$$p_f=\sqrt[3]{\frac{\left.C^{\prime}\right.^2}{P^{\prime}}}$$History
Year | pf |
---|---|
1997 | 0.4754 |
1998 | 1.9020 |
1999 | 3.7729 |
2000 | 5.0045 |
2001 | 6.8022 |
2002 | 9.6478 |
2003 | 12.7473 |
2004 | 16.3548 |
2005 | 18.8797 |
2006 | 24.2061 |
2007 | 29.0401 |
2008 | 33.5681 |
2009 | 37.1602 |
2010 | 41.7427 |
2011 | 46.7802 |
2012 | 51.4213 |
2013 | 55.9651 |
2014 | 59.0665 |
2015 | 62.4532 |
2016 | 66.5087 |
2017 | 70.0980 |
2018 | 73.0225 |
2019 | 76.0595 |
2020 | 79.1431 |
2021 | 82.7731 |
2022 | 85.9495 |
2023 | 89.3438 |
2024 | 89.1371 |
References
- Prathap, G. (2011) The fractional and harmonic p-indices for multiple authorship. Scientometrics 86:239–244.