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arXiv:1906.03521 [math.CA]AbstractReferencesReviewsResources

Asymptotic approximations of the continuous Hahn polynomials and their zeros

Li-Hua Cao, Yu-Tian Li, Yu Lin

Published 2019-06-08Version 1

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).

Comments: 23 pages
Categories: math.CA
Subjects: 41A60, 33C45
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