Title 



Mathematical study of hindex sequences
 
Author 


  
Abstract 



This paper studies mathematical properties of hindex sequences as developed by Liang [Liang, L. (2006). hIndex sequence and hindex matrix: Constructions and applications. Scientometrics, 69(1), 153159]. For practical reasons, Liming studies such sequences where the time goes backwards while it is more logical to use the time going forward (real career periods). Both type of hindex 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 that the reversetime sequence, in general, cannot be used to derive similar properties of the (difficult to obtain) forward time sequence. We show that both sequences are the same if and only if the author produces the same number of papers per year. If the author produces an increasing number of papers per year, then Liangs hsequences are above the normal ones. All these results are also valid for g and Rsequences. The results are con firmed by the h, g and Rsequences (forward and reverse time) of the author.   
Language 



English
 
Source (journal) 



Information processing and management.  Oxford  
Publication 



Oxford : 2009
 
ISSN 



03064573
 
Volume/pages 



45:2(2009), p. 288297
 
ISI 



000264452400010
 
Full text (Publisher's DOI) 


  
