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

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

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 approxi...

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Veröffentlicht in:Applied mathematics and computation 2015-01, Vol.250, p.727-732
Hauptverfasser: Mező, István, Corcino, Roberto B.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Asymptotic properties
Bell numbers
Bells
Combinatorial analysis
Computation
Heuristic methods
Mathematical analysis
Mathematical models
Polynomials
r-Bell numbers
r-Stirling numbers
Stirling numbers
Zero estimation
Zeros of polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.10.058