A Combinatorial Approach to the Generalized Central Factorial Numbers

Takao Komatsu; José L. Ramírez; Diego Villamizar

doi:10.1007/s00009-021-01830-5

A Combinatorial Approach to the Generalized Central Factorial Numbers

Takao Komatsu
, José L. Ramírez^*
, Diego Villamizar

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Zhejiang Sci-Tech University
Universidad Nacional de Colombia

Research output: Contribution to journal › Article › Scientific › peer-review

19 Citations (Web of Science)

Abstract

In the present article, we make use of the set partitions and the generating functions to give new combinatorial relations for the generalized central factorial numbers. In the second part of the paper, we present a relationship between the Bernoulli polynomials and the Stirling numbers with higher level.

Original language	English
Article number	192
Journal	Mediterranean Journal of Mathematics
Volume	18
Issue number	5
DOIs	https://doi.org/10.1007/s00009-021-01830-5
Publication status	Published - Oct 2021
MoE publication type	A1 Journal article-refereed

Keywords

Bernoulli numbers
Central factorial numbers
generating functions
set partitions

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10.1007/s00009-021-01830-5

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title = "A Combinatorial Approach to the Generalized Central Factorial Numbers",

abstract = "In the present article, we make use of the set partitions and the generating functions to give new combinatorial relations for the generalized central factorial numbers. In the second part of the paper, we present a relationship between the Bernoulli polynomials and the Stirling numbers with higher level.",

keywords = "Bernoulli numbers, Central factorial numbers, generating functions, set partitions",

author = "Takao Komatsu and Ram{\'i}rez, \{Jos{\'e} L.\} and Diego Villamizar",

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AU - Ramírez, José L.

AU - Villamizar, Diego

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AB - In the present article, we make use of the set partitions and the generating functions to give new combinatorial relations for the generalized central factorial numbers. In the second part of the paper, we present a relationship between the Bernoulli polynomials and the Stirling numbers with higher level.

KW - Bernoulli numbers

KW - Central factorial numbers

KW - generating functions

KW - set partitions

UR - https://www.scopus.com/pages/publications/85108825949

U2 - 10.1007/s00009-021-01830-5

DO - 10.1007/s00009-021-01830-5

M3 - Article

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SN - 1660-5446

VL - 18

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

M1 - 192

ER -

A Combinatorial Approach to the Generalized Central Factorial Numbers

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Keywords

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