A unified matrix approach to the representation of Appell polynomials

作者：Aceto L^*; Malonek H R; Tomaz G

来源：Integral Transforms and Special Functions, 2015, 26(6): 426-441.

DOI：10.1080/10652469.2015.1013035

• 15A16
• 11B83
• 65F60
• binomial theorem
• creation matrix
• Pascal matrix
• Appell polynomials

In this paper, we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix - a special matrix which has only the natural numbers as entries and is closely related to the well-known Pascal matrix. By this means, we stress the arithmetical origins of Appell polynomials. The approach also allows to derive, in a simplified way, the properties of Appell polynomials by using only matrix operations.

• 出版日期2015-6-3