Weak asymptotics for the generating polynomials of the Stirling numbers of the second kind

DOI10.1006/jath.2000.3534zbMath0974.30005OpenAlexW4212949624MaRDI QIDQ5933476

Christian Elbert

Publication date: 16 May 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3534

zbMATH Keywords

generating functionszeros of polynomialsasymptotic zero distributionStirling numbers of second kind

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (7)

On the real roots of \(\sigma\)-polynomials ⋮ Zero distribution of polynomials satisfying a differential-difference equation ⋮ Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions ⋮ Strong asymptotics of the generating polynomials of the Stirling numbers of the second kind ⋮ Computation of certain infinite series of the form \(\sum f(n)n^k \) for arbitrary real-valued \(k\) ⋮ Asymptotic analysis of the Bell polynomials by the ray method ⋮ A uniform asymptotic expansion of the single variable Bell polynomials

Cites Work

• Asymptotics for orthogonal polynomials
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Strong asymptotics of the generating polynomials of the Stirling numbers of the second kind
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