The Hirsch index of a shifted Lotka function and its relation with the impact factor

被引：19

作者：

Egghe, Leo ^{[1
,2
]}

Rousseau, Ronald ^{[2
,3
,4
]}

机构：

[1] Univ Hasselt UHasselt, B-3590 Diepenbeek, Belgium

[2] Univ Antwerp, IBW, B-2000 Antwerp, Belgium

[3] KHBO Assoc KU Leuven, Fac Engn Technol, B-8400 Oostende, Belgium

[4] Katholieke Univ Leuven, Dept Math, B-3000 Heverlee, Belgium

来源：

JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY | 2012年 / 63卷 / 05期

关键词：

bibliometrics; H-INDEX; MODEL;

D O I：

10.1002/asi.22617

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on earlier results about the shifted Lotka function, we prove an implicit functional relation between the Hirsch index (h-index) and the total number of sources (T). It is shown that the corresponding function, h(T), is concavely increasing. Next, we construct an implicit relation between the h-index and the impact factor IF (an average number of items per source). The corresponding function h(IF) is increasing and we show that if the parameter C in the numerator of the shifted Lotka function is high, then the relation between the h-index and the impact factor is almost linear.

引用

页码：1048 / 1053

页数：6