Vembu Ramachandran and Roopkumar Rajakumar
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 30, 2024, Number 4, Pages 797–802
DOI: 10.7546/nntdm.2024.30.4.797-802
Full paper (PDF, 201 Kb)
Details
Authors and affiliations
Vembu Ramachandran 
Department of Mathematics, SBK College
Aruppukottai – 626101, India
Roopkumar Rajakumar
Department of Mathematics, Central University of Tamil Nadu
Thiruvarur – 610005, India
Abstract
We present an analytic formula for Bell numbers through counting the number of uniform structures on a finite set.
Keywords
- Bell numbers
- Counting the partitions
- Uniform structure
2020 Mathematics Subject Classification
- 11B73
- 05A18
- 54E15
References
- Bell, E. T. (1934). Exponential polynomials. Annals of Mathematics, 35(2), 258–277.
- Weil, A. (1937). Sur les Espaces à Structure Uniforme et sur la Topologie Générale. Herman, Paris.
- Willard, S. (1970). General Topology. Addison-Wesley Publishing Company Inc., Philippines.
Manuscript history
- Received: 21 September 2023
- Revised: 22 November 2024
- Accepted: 26 November 2024
- Online First: 26 November 2024
Copyright information
Ⓒ 2024 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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Cite this paper
Ramachandran, V., & Rajakumar, R. (2024). An analytical formula for Bell numbers. Notes on Number Theory and Discrete Mathematics, 30(4), 797-802, DOI: 10.7546/nntdm.2024.30.4.797-802.
