Asymptotic Estimates for r-Whitney Numbers of the Second Kind

Asymptotic Estimates for r-Whitney Numbers of the Second Kind

The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtai...

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Veröffentlicht in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.19-25-302
Hauptverfasser: Corcino, Cristina B., Corcino, Roberto B., Acala, Nestor
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Colleges & universities
Estimates
Integers
Mathematical analysis
Number theory
Polynomials
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Zusammenfassung:The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/354053