A refinement of Egghe's increment studies
Faculty of Social Sciences. Instructional and Educational Sciences
Documentation and information
Journal of informetrics. - Amsterdam
, p. 212-216
University of Antwerp
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.