Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
← Back to introduction

harmonic p-index

The harmonic p-index (Prathap 2011) is a variant of the p-index 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 (ai). 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

Yearph
19970.6241
19982.4166
19994.4040
20005.3365
20017.8709
200211.4064
200314.4693
200418.4818
200521.3947
200626.6333
200731.0393
200835.6299
200939.0594
201043.2756
201146.7348
201250.0156
201352.3146
201454.5707
201557.5329
201660.0255
201762.0615

References