Time-dependent Lotkaian informetrics incorporating growth of sources and items

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Abstract

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.

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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

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