论文标题
与广义charlier多项式有关的Sobolev正交多项式的渐近分析
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
论文作者
论文摘要
在本文中，我们针对涉及前向操作员δ的非标准内部产物解决了正交多项式家族的渐近行为。具体而言，我们在δ-sobolev正交性的框架中处理了广义的Charlier权重。我们获得了这种正交多项式的渐近膨胀，其中下降的多项式发挥了重要作用。
In this paper we tackle the asymptotic behavior of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator Δ. Concretely, we treat the generalized Charlier weights in the framework of Δ--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.
