Title 



Mathematical characterizations of the wu and hirsch indices using two types of minimal increments
 
Author 


  
Abstract 



For a general increasing function f(n) (n = 1,2,3,...) we can define the most general version of the Hirschindex being the highest rank n such that all papers on ranks 1,..., n each have at least f(n) citations. The minimum configuration to have this value of n is n papers each having f(n) citations, hence we have nf(n) citations in total. To increase the value n by one we hence need (minimally) (n+1)f(n+1)citations, an increment of I1(n) = (n+1)f (n+1)nf(n) citations. Define the increment of second order as I2(n) = I1(n+1)I1(n). We characterize the general Wuindex by requiring specific values of I(1()n()) and I2(n), hence also characterizing the Hirschindex.   
Language 



English
 
Source (journal) 



14TH INTERNATIONAL SOCIETY OF SCIENTOMETRICS AND INFORMETRICS CONFERENCE (ISSI)  
Source (book) 



14th InternationalSocietyofScientometricsandInformetrics Conference, (ISSI), JUL 1520, 2013, Vienna, AUSTRIA  
Publication 



Leuven : Int soc scientometrics & informetricsissi, 2013
 
Volume/pages 



(2013), p. 11591169
 
ISI 



000353961700090
 
Number 



9783200031357
 
Full text (open access) 


  
