Yet another note on notation

Back in 1755, Euler explored an interesting array of numbers that now frequently appears in polynomial identities, combinatorial problems, and finite calculus, among other places. These numbers share a strong connection with well-known number families, such as those of Stirling, Bernoulli, and Fubini. Despite their importance, they often go unnoticed because of the lack of a specific name and standard notation. This paper aims to address this oversight by proposing an appropriate name and notation, aligned with established mathematical conventions, and supported by (we hope) strong enough arguments to facilitate their acceptance from the mathematical community.

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Publication Details

Journal
International Journal of Mathematical Education in Science and Technology
Published
2026-08-03
DOI
https://doi.org/10.1080/0020739x.2026.2701739
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Yet another note on notation

Mircea Dan Rus
International Journal of Mathematical Education in Science and Technology
History and Theory of Mathematics
article

Yet another note on notation

Mircea Dan Rus
article en

Abstract

Back in 1755, Euler explored an interesting array of numbers that now frequently appears in polynomial identities, combinatorial problems, and finite calculus, among other places. These numbers share a strong connection with well-known number families, such as those of Stirling, Bernoulli, and Fubini. Despite their importance, they often go unnoticed because of the lack of a specific name and standard notation. This paper aims to address this oversight by proposing an appropriate name and notation, aligned with established mathematical conventions, and supported by (we hope) strong enough arguments to facilitate their acceptance from the mathematical community.

International Journal of Mathematical Education in Science and Technology
Technical University of Cluj-Napoca (RO)
Openalex Percentile: Top 100%
History and Theory of Mathematics
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