On r-central incomplete and complete bell polynomials

Dae San Kim; Han Young Kim; Dojin Kim; Taekyun Kim

doi:10.3390/sym11050724

On r-central incomplete and complete bell polynomials

Dae San Kim, Han Young Kim, Dojin Kim, Taekyun Kim

Department of Mathematics

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

3 Scopus citations

Abstract

Here we would like to introduce the extended r-central incomplete and complete Bell polynomials, as multivariate versions of the recently studied extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, and also as multivariate versions of the r- Stirling numbers of the second kind and the extended r-Bell polynomials. In this paper, we study several properties, some identities and various explicit formulas about these polynomials and their connections as well.

Original language	English
Article number	724
Journal	Symmetry
Volume	11
Issue number	5
DOIs	https://doi.org/10.3390/sym11050724
State	Published - 1 May 2019

Keywords

Complete r-Bell polynomials
Extended r-central complete bell polynomials
Extended r-central incomplete bell polynomials
Incomplete r-bell polynomials

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10.3390/sym11050724

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abstract = "Here we would like to introduce the extended r-central incomplete and complete Bell polynomials, as multivariate versions of the recently studied extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, and also as multivariate versions of the r- Stirling numbers of the second kind and the extended r-Bell polynomials. In this paper, we study several properties, some identities and various explicit formulas about these polynomials and their connections as well.",

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AU - Kim, Dojin

AU - Kim, Taekyun

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N2 - Here we would like to introduce the extended r-central incomplete and complete Bell polynomials, as multivariate versions of the recently studied extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, and also as multivariate versions of the r- Stirling numbers of the second kind and the extended r-Bell polynomials. In this paper, we study several properties, some identities and various explicit formulas about these polynomials and their connections as well.

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KW - Complete r-Bell polynomials

KW - Extended r-central complete bell polynomials

KW - Extended r-central incomplete bell polynomials

KW - Incomplete r-bell polynomials

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On r-central incomplete and complete bell polynomials

Abstract

Keywords

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