Asymptotic approximations of the continuous Hahn polynomials and their zeros
Asymptotic approximations of the continuous Hahn polynomials and their zeros
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连续哈恩多项式及其零点的渐近逼近
DOI：
10.1016/j.jat.2019.07.001
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发表时间：
2019
影响因子：
0.9
通讯作者：
Lin Yu
中科院分区：
文献类型：
--
作者：
Cao Li-Hua;Li Yu-Tian;Lin Yu
利用连续Hahn多项式的三项递推关系，建立了连续Hahn多项式及其零点随次数增长到无穷大的渐近逼近。这些方法基于Wang和Wong（2003）开发的差分方程的一致渐近展开式以及Wang（2014）开发的复平面中的匹配技术。
Asymptotic approximations for the continuous Hahn polynomials and their zeros as the degree grows to infinity are established via their three-term recurrence relation. The methods are based on the uniform asymptotic expansions for difference equations developed by Wang and Wong (2003) and the matching technique in the complex plane developed by Wang (2014).