General Mathematics

    

On the Classical Explicit Formula for Bernoulli Numbers

Authors: Abdelhay Benmoussa

This paper presents a proof of the classical explicit formula for Bernoulli numbers, expressed as a sum involving Stirling numbers of the second kind. The approach follows a combinatorial and polynomial comparison method similar to that used by Maurice d'Ocagne. Starting from the explicit formula of Stirling numbers and using known relations with falling factorials, we derive the closed-form expression

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2025-08-11 00:56:15
[v2] 2025-08-30 21:34:32

Unique-IP document downloads: 401 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus