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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 250, pages 727-732 (issn: 0096-3003,

Authors: István Mező; Roberto B. Corcino;

doi: 10.1016/j.amc.2014.10.058

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

- Summary
- Metrics

Abstract

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.

Related Organizations

University of Cebu
Philippines
Cebu Normal University
Philippines
Nanjing University of Information Science and Technology
China (People's Republic of)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average