Asymptotic normality of the (r, B)-stirling numbers

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Ars Combinatoria

Volume

81

First Page

81

Last Page

96

Publication Date

2006

Abstract

In this paper, the unimodality of (r, B)-Stirling numbers and certain asymptotic approximation of (r, B)-Bell numbers are established. Together with these results and the most general form of Central Limit Theorem, viz. Bounded Variance Normal Convergence Criterion, the (r, ẞ)-Stirling numbers are shown to be asymptotically normal.

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Disciplines

Mathematics

Keywords

Stirling numbers

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