微分方程与Sheffer-Appell多项式列的递推关系：矩阵方法
Differential equation and recurrence relations of the Sheffer-Appell polynomial sequence: A matrix approach
摘要：
受Pascal泛函和Wronskian矩阵的影响，利用矩阵代数的方法研究了Sheffer-Appell多项式列的几个恒等式和微分方程.本文所用的矩阵方法，可以方便地导出Sheffer-Appell多项式序列的母函数。通过例子，我们应用，并说明我们的结果的一个扩展类的多项式序列。
英文摘要：
Motivated by the effective impact of the Pascal functional and the Wronskian matrices, we investigate several identities and differential equation for the Sheffer-Appell polynomial sequence by using matrix algebra. The matrix approach, which we have used in this article, is convenient to derive the generating functions of the Sheffer-Appell polynomial sequence. By means of examples, we apply and also illustrate our results to an extended class of polynomial sequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
