A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS

In this short communication we will explore Bell's exponential function in order to obtain new identities for a series involving the function pk(n), the number of partitions of n into k colors. Keywords: k-colored partitions, Convergent series, Bell polynomials.

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Publication Details

Journal
Revista Sergipana de Matemática e Educação Matemática
Published
2024-10-14
DOI
https://doi.org/10.34179/revisem.v9i3.21792
Primary Topic
Advanced Combinatorial Mathematics
Type
article
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0.00
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article

A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS

Mateus Alegri, J. Bonilla, Elen Viviani Pereira Spreafico
Revista Sergipana de Matemática e Educação Matemática
Advanced Combinatorial Mathematics
article

A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS

Mateus Alegri, J. Bonilla, Elen Viviani Pereira Spreafico
article en

Abstract

In this short communication we will explore Bell's exponential function in order to obtain new identities for a series involving the function pk(n), the number of partitions of n into k colors. Keywords: k-colored partitions, Convergent series, Bell polynomials.

Revista Sergipana de Matemática e Educação MatemáticaVol. 9(3)
Universidade Federal de Sergipe (BR)
Openalex Percentile: Top 66%
Advanced Combinatorial Mathematics
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A NOTE ON BELL POLYNOMIALS AND COLORED PARTITIONS — Mateus Alegri, J. Bonilla, et al. · Revista Sergipana de Matemática e Educação Matemática (2024) | TGRS Research Map | TGRS