Mathematical informetrics: Hirsch-type equations and bundles

IF 3.4 2区管理学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Informetrics Pub Date : 2023-12-08 DOI:10.1016/j.joi.2023.101479

Leo Egghe

引用次数: 0

Abstract

We define Hirsch-type equations and bundles being common generalizations of the defining equations of e.g. Hirsch-bundles, g-bundles, and Kosmulski-bundles. In this way, common properties of all these bundles can be proved. The main result proves basic inequalities for these bundles. They form the basis for convergence results as well as for criteria for these bundles to be impact bundles.

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数学信息学：赫氏方程与赫氏束

我们定义了赫氏方程和赫氏束，它们是赫氏束、g 束和科斯穆尔斯基束等定义方程的共同概括。通过这种方式，可以证明所有这些束的共同性质。主要结果证明了这些束的基本不等式。它们是收敛结果的基础，也是这些束成为影响束的标准。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Informetrics Social Sciences-Library and Information Sciences

CiteScore

6.40

自引率

16.20%

发文量

期刊介绍： Journal of Informetrics (JOI) publishes rigorous high-quality research on quantitative aspects of information science. The main focus of the journal is on topics in bibliometrics, scientometrics, webometrics, patentometrics, altmetrics and research evaluation. Contributions studying informetric problems using methods from other quantitative fields, such as mathematics, statistics, computer science, economics and econometrics, and network science, are especially encouraged. JOI publishes both theoretical and empirical work. In general, case studies, for instance a bibliometric analysis focusing on a specific research field or a specific country, are not considered suitable for publication in JOI, unless they contain innovative methodological elements.