Document (#37244)

Author

Egghe, L.
Rousseau, R.

Title

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

Source

Journal of the American Society for Information Science and Technology. 63(2012) no.5, S.1048-1053

Year

2012

Abstract

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.

Theme

Informetrie

Object

h-index

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