An asymptotic formula for the r-Bell numbers

Authors

Cristina B. Corcino

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Matimyas Matematika

Volume

24

Issue

1

First Page

9

Last Page

18

Publication Date

1-2001

Abstract

The r-Bell numbers C_n,r are defined by the sum G_n,r = Σ S(n,m;0,1,r) where S(n,m;0,1,r) denotes the r-Stirling numbers of the second kind. The numbers G_n,r represent certain generalization of the well-known Bell numbers. In a joint paper, Moser and Wyman [3] were able to obtain an asymptotic formula for the Bell numbers. In this paper the author extends their method to obtain an asymptotic formula for the r-Bell numbers.

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Recommended Citation

Corcino, C. B. (2001). An asymptotic formula for the r-Bell numbers. Matimyas Matematika, 24 (1), 9-18. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/14807

Disciplines

Mathematics

Keywords

Stirling numbers

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