论文标题
Appell和Sheffer序列：通过功能和示例的表征
Appell and Sheffer sequences: on their characterizations through functionals and examples
论文作者
论文摘要
本文的目的是根据定义它们的线性功能，为Appell和Sheffer序列提出新的简单复发，并解释这是如何等于文献中出现的几种众所周知的特征。我们还提供了几个示例，包括与Bernoulli和Euler多项式相关的逆运算符的积分表示，以及重新尺度的HERMITE $ D $ D $ -D $ -DONTORONAL多项式概括与Hermite Polynomials相关的WeierStrass Operator的新的积分表示。
The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature. We also give several examples, including integral representations of the inverse operators associated to Bernoulli and Euler polynomials, and a new integral representation of the re-scaled Hermite $d$-orthogonal polynomials generalizing the Weierstrass operator related to the Hermite polynomials.
