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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