Title
The Hirsch index of a shifted Lotka function and its relation with the impact factor The Hirsch index of a shifted Lotka function and its relation with the impact factor
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Washington, D.C. ,
Subject
Documentation and information
Computer. Automation
Source (journal)
Journal of the American Society for Information Science and Technology. - Washington, D.C., 2001 - 2013
Volume/pages
63(2012) :5 , p. 1048-1053
ISSN
1532-2882
1532-2890
ISI
000303500300013
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Based on earlier results about the shifted Lotka function, we prove an implicit functional relation between the Hirsch index (h-index) and the total number of sources (T). It is shown that the corresponding function, h(T), is concavely increasing. Next, we construct an implicit relation between the h-index and the impact factor IF (an average number of items per source). The corresponding function h(IF) is increasing and we show that if the parameter C in the numerator of the shifted Lotka function is high, then the relation between the h-index and the impact factor is almost linear.
E-info
https://repository.uantwerpen.be/docman/iruaauth/c18c48/0761664.pdf
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