New family of Jacobi-Stirling numbers

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI:10.2298/aadm210829013c

N. Cakic, B. El-Desouky, R. Gomaa

引用次数: 0

Abstract

The Jacobi-Stirling numbers of the first and second kind were introduced in 2007 by Everitt et al. In this article we find new explicit formulas for Jacobi Stirling numbers. Furthermore, we derive and study new class of the Jacobi Stirling numbers so-called generalized Jacobi-Stirling numbers. Some special cases such as Legendre-Stirling numbers are given. Some interesting combinatorial identities are obtained.

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新的Jacobi-Stirling数族

第一类和第二类Jacobi-Stirling数是由Everitt等人在2007年引入的。本文给出了新的雅可比斯特林数的显式公式。在此基础上，导出并研究了一类新的Jacobi-Stirling数，即广义Jacobi-Stirling数。给出了一些特殊情况，如legende - stirling数。得到了一些有趣的组合恒等式。

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

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).