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

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Zhejiang Sci-Tech University
Universidad Nacional de Colombia

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

19 Viittaukset (Web of Science)

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	192
Julkaisu	Mediterranean Journal of Mathematics
Vuosikerta	18
Numero	5
DOI - pysyväislinkit	https://doi.org/10.1007/s00009-021-01830-5
Tila	Julkaistu - lokak. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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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",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2021",

month = oct,

doi = "10.1007/s00009-021-01830-5",

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T1 - A Combinatorial Approach to the Generalized Central Factorial Numbers

AU - Komatsu, Takao

AU - Ramírez, José L.

AU - Villamizar, Diego

PY - 2021/10

Y1 - 2021/10

N2 - 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.

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

AN - SCOPUS:85108825949

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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