The estimation of the zeros of the Bell and r-Bell polynomials

István Mező and Roberto B. Corcino

Applied Mathematics and Computation, 2015, vol. 250, issue C, 727-732

Abstract: It is a classical result that the zeros of the Bell polynomials are real and negative. In this study we deal with the asymptotic growth of the leftmost zeros of the Bell polynomials and generalize the results for the r-Bell polynomials, too. In addition, we offer a heuristic approach for the approximation of the maximizing index of the Stirling numbers of both kind.

Keywords: Bell numbers; r-Bell numbers; Stirling numbers; r-Stirling numbers; Zeros of polynomials; Zero estimation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:727-732

DOI: 10.1016/j.amc.2014.10.058

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