Title
A refinement of Egghe's increment studies A refinement of Egghe's increment studies
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Amsterdam ,
Subject
Documentation and information
Source (journal)
Journal of informetrics. - Amsterdam
Volume/pages
8(2014) :1 , p. 212-216
ISSN
1751-1577
ISI
000331771900019
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
this contribution we show how results obtained in a series of papers by Egghe can be refined in the sense that we need fewer additional conditions. In these articles Egghe considered a general h-type index which has a value n if n is the largest natural number such that the first n publications (ranked according to the number of received citations) have received at least f(n) citations, with f(n) any increasing function defined on the strictly positive numbers. His results deal with increments I-2 and I-1 defined by: I-2(n)-I-1 (n + 1)-I-1 (n) where I-1 (n) = (n + 1)f(n + 1) - nf(n). Our results differ from Egghe's because we also consider I-k(0), k= 1,2. We, moreover, provide a non-recursive definition of the increment functions I-k(n) (C) 2013 Elsevier Ltd. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/7337a0/0f67213.pdf
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