Evolutionary Biological Data Science Laboratory

harmonic p-index

The harmonic 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, using a harmonic weighting credit scheme based on the author's position within the authorship list for each publication (a_i). For each publication, the author receives weighted credit equal to:$$r_i=\frac{\frac{1}{a_i}}{\sum\limits_{j=1}^{A_i}{\frac{1}{j}}}$$The harmonic p-index is then calculated as:

$$C^{\prime}=\sum\limits_{i=1}^{P}{C_i r_i}$$$$P^{\prime}=\sum\limits_{i=1}^{P}{r_i}$$$$p_h=\sqrt[3]{\frac{\left.C^{\prime}\right.^2}{P^{\prime}}}$$

History