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arXiv · 2212.09459

The Hirsch function and its properties

Leo Egghe
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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 $h_f$.

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Leo Egghe. 2022-12-19. The Hirsch function and its properties. https://arxiv.org/abs/2212.09459

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