appel序列的递推关系

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-11-03 DOI:10.1080/10652469.2022.2140800

Ghania Guettai, D. Laissaoui, M. Rahmani, Madjid Sebaoui

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引用次数: 0

摘要

本文给出了用第二类加权斯特林数表示的Appell多项式的几个显式公式。我们还提供了一种统一的方法来获得计算Appell多项式的三项递推公式。给出了几个例子来说明我们的结果。作为一种应用，我们定义并研究了一类新的多项式，我们称之为SPI多项式。它们与整数的幂和有关。

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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Recurrence relation for the Appell sequences

In this paper, we present several explicit formulas for Appell polynomials in terms of the weighted Stirling numbers of the second kind. We also provide a unified approach to obtain a three-term recurrence formula for the computation of Appell polynomials. Several examples are given to illustrate our results. As an application, we define and study a new class of polynomials that we call SPI polynomials. They are related to sums of powers of integers.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.