欧拉-道林多项式作为矩，使用Riordan阵列
Eulerian-Dowling Polynomials as Moments, Using Riordan Arrays
摘要：
利用指数Riordan阵列的理论，我们证明了Eulerian-Dowling多项式是一个参数化的正交多项式族的矩。此外，我们还证明了相关的Dowling和Tanny-Dowling多项式也是适当的正交多项式族的矩。我们提供了这些多项式的连分数生成函数和Hankel变换。
英文摘要：
Using the theory of exponential Riordan arrays, we show that the Eulerian-Dowling polynomials are moments for a paramaterized family of orthogonal polynomials. In addition, we show that the related Dowling and the Tanny-Dowling polynomials are also moments for appropriate families of orthogonal polynomials. We provide continued fraction generating functions and Hankel transforms for these polynomials.
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。
