Asymptotic approximations of the continuous Hahn polynomials and their zeros
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 (Numer. Math., 2003) and the matching technique in the complex plane developed by Wang (J. Approx. Theory, 2014).
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