Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
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发表时间：
2011-02
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通讯作者：
P. Barry
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作者：
P. Barry
以勒让德和厄米正交多项式为例，我们展示了如何解释这样一个事实，即这些正交多项式的矩的其他正交多项式在其相关的Riordan阵列。我们使用这些手段来计算相关的多项式序列的汉克尔变换。
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials in terms of their associated Riordan arrays. We use these means to calculate the Hankel transforms of the associated polynomial sequences.