A determinantal approach to Sheffer-Appell polynomials via monomiality principle

被引：24

作者：

Khan, Subuhi ^{[1
]}

Riyasat, Mumtaz ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 421卷 / 01期

关键词：

Sheffer-Appell polynomials; Determinantal approach; Monomiality principle; Sheffer-Bernoulli polynomials; Sheffer-Euler polynomials; APOSTOL-EULER POLYNOMIALS;

D O I：

10.1016/j.jmaa.2014.07.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the Sheffer and Appell polynomials are combined to introduce the family of Sheffer-Appell polynomials by using operational methods. The determinantal definition and other properties of the Sheffer-Appell polynomials are established. As particular cases of these polynomials, the Sheffer-Bernoulli and Sheffer-Euler polynomials are introduced and their determinantal definitions are obtained. The operational correspondence between the Appall and Sheffer-Appell polynomials is used to derive the results for the Sheffer-Appell polynomials. Certain results for the Hermite-Appell and Laguerre-Appell polynomials are also obtained. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：806 / 829

页数：24

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