|
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 Hirsch-index 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 I-1(n) = (n+1)f (n+1)-nf(n) citations. Define the increment of second order as I-2(n) = I-1(n+1)-I-1(n). We characterize the general Wu-index by requiring specific values of I(1()n()) and I-2(n), hence also characterizing the Hirsch-index. |
| |
|
Language
|
|
|
|
English
| |
|
Source (journal)
|
|
|
|
14TH INTERNATIONAL SOCIETY OF SCIENTOMETRICS AND INFORMETRICS CONFERENCE (ISSI)
| |
|
Source (book)
|
|
|
|
14th International-Society-of-Scientometrics-and-Informetrics Conference, (ISSI), JUL 15-20, 2013, Vienna, AUSTRIA
| |
|
Publication
|
|
|
|
Leuven
:
Int soc scientometrics & informetrics-issi
,
2013
| |
|
ISBN
|
|
|
|
978-3-200-03135-7
| |
|
Volume/pages
|
|
|
|
(2013)
, p. 1159-1169
| |
|
ISI
|
|
|
|
000353961700090
| |
|
Full text (open access)
|
|
|
|
| |
|