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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/8524

Title: Time-dependent Lotkaian informetrics incorporating growth of sources and items
Authors: EGGHE, Leo
Issue Date: 2009
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Citation: MATHEMATICAL AND COMPUTER MODELLING, 49(1-2). p. 31-37
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.
URI: http://hdl.handle.net/1942/8524
DOI: 10.1016/j.mcm.2008.01.011
ISI #: 000260904100004
ISSN: 0895-7177
Category: A1
Type: Journal Contribution
Validation: ecoom, 2009
Appears in Collections: Research publications

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