Mathematical study of h-index sequences》.pdfVIP

Information Processing and Management 45 (2009) 288–297 Contents lists available at ScienceDirect Information Processing and Management journal homepage: /locate/infoproman Mathematical study of h-index sequences L. Egghe * Universiteit Hasselt (UHasselt), Campus Diepenbeek, Agoralaan, B-3590 Diepenbeek, Belgium a r t i c l e i n f o a b s t r a c t Article history: This paper studies mathematical properties of h-index sequences as developed by Liang Received 2 June 2008 [Liang, L. (2006). h-Index sequence and h-index matrix: Constructions and applications. Received in revised form 1 December 2008 Scientometrics, 69(1), 153–159]. For practical reasons, Liming studies such sequences where Accepted 14 December 2008 the time goes backwards while it is more logical to use the time going forward (real career Available online 13 January 2009 periods). Both type of h-index sequences are studied here and their interrelations are revealed. We show cases where these sequences are convex, linear and concave. We also show that, when one of the sequences is convex then the other one is concave, showing Keywords: that the reverse-time sequence, in general, cannot be used to derive similar properties of h-Index sequence g -Index sequence the (difficult to obtain) forward time sequence. We show that both sequences are the same R-Index sequenc