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The Hirsch Function and its Properties

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  1. 1Hasselt University, 3500 Hasselt, BELGIUM.

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Leo Egghe

Hasselt University, 3500 Hasselt, BELGIUM.

leo.egghe@uhasselt.be

Received: 27-03-2023; Revised: 26-04-2023; Accepted: 03-05-2023.

Volume 12, Issue 2 · pp. 229-233 · 2023 · DOI: 10.5530/jscires.12.2.022

ABSTRACT

The Hirsch function, denoted as hf , of a given continuous function f 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 several 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 hf

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    Egghe, L. (2023). The Hirsch Function and its Properties. Journal of Scientometric Research, 12(2), 229-233. https://doi.org/10.5530/jscires.12.2.022

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    © 2023 Author(s)

    This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 License, which allows others to remix, tweak, and build upon the work non-commercially, as long as the author is credited and the new creations are licensed under the identical terms. CC BY-NC-SA 4.0