Time-dependent Lotkaian informetrics incorporating growth of sources and items

Citations of this article
Mendeley users who have this article in their library.


In a previous article, static Lotkaian theory was extended by introducing a growth function for the items. In this article, a second general growth function-this time for the sources-is introduced. Hence this theory now comprises real growth situations, where items and sources grow, starting from zero, and at possibly different paces. The time-dependent size- and rank-frequency functions are determined and, based on this, we calculate the general, time-dependent, expressions for the h- and g-index. As in the previous article we can prove that both indices increase concavely with a horizontal asymptote, but the proof is more complicated: we need the result that the generalized geometric average of concavely increasing functions is concavely increasing. © 2008 Elsevier Ltd. All rights reserved.




Egghe, L. (2009). Time-dependent Lotkaian informetrics incorporating growth of sources and items. Mathematical and Computer Modelling, 49(1–2), 31–37. https://doi.org/10.1016/j.mcm.2008.01.011

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free