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arXiv · 1906.03521

Asymptotic approximations of the continuous Hahn polynomials and their zeros

Li-Hua Cao·Yu-Tian Li·Yu Lin
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Abstract

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 (\textit{Numer. Math.}, 2003) and the matching technique in the complex plane developed by Wang (\textit{J. Approx. Theory}, 2014).

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Li-Hua Cao, Yu-Tian Li, Yu Lin. 2019-06-08. Asymptotic approximations of the continuous Hahn polynomials and their zeros. https://doi.org/10.1016/j.jat.2019.07.001

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