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The Rousseau number: an informetric version of the Erdös number
Leo Egghe
Some mathematical properties of the Erdös number and its formal equivalents are shown. An informetric equivalent is presented: the Rousseau number. This contribution honors Ronald…
The Hirsch function and its properties
Leo Egghe
The Hirsch function of a given continuous function is a new function depending on a parameter. It exists provided some assumptions are satisfied. If this parameter takes the value…
The generalized e-bundle
Leo Egghe, Ronald Rousseau
In previous work, we introduced the notion of an impact bundle, showing how e.g., the h-index and the g-index can lead to such a bundle. Here we extend the set of impact bundles by…
Impact in informetrics and beyond
Leo Egghe, Ronald Rousseau
The concept of impact is one of the most important concepts in informetrics. It is here studied mathematically. We first fix a topic for which we want to find influential objects s…
Generalized Lorenz dominance orders
Leo Egghe, Ronald Rousseau
We extend the discrete majorization theory by working with non-normalized Lorenz curves. Then we prove two generalizations of the Muirhead theorem. These not only use elementary tr…