English

The Hirsch function and its properties

General Mathematics 2022-12-20 v1

Abstract

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 one, we obtain the well-known h-index. We prove some properties of the Hirsch function and characterize the shape of general functions that are Hirsch functions. We, moreover, present a formula that enables the calculation of f, given its Hirsch function hfh_f.

Keywords

Cite

@article{arxiv.2212.09459,
  title  = {The Hirsch function and its properties},
  author = {Leo Egghe},
  journal= {arXiv preprint arXiv:2212.09459},
  year   = {2022}
}