Asymptotic approximations of the continuous Hahn polynomials and their zeros
Classical Analysis and ODEs
2022-08-16 v1
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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Cite
@article{arxiv.1906.03521,
title = {Asymptotic approximations of the continuous Hahn polynomials and their zeros},
author = {Li-Hua Cao and Yu-Tian Li and Yu Lin},
journal= {arXiv preprint arXiv:1906.03521},
year = {2022}
}
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23 pages