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Applicable Analysis and Discrete Mathematics
Article . 2019 . Peer-reviewed
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Applicable Analysis and Discrete Mathematics
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On degenerate central complete bell polynomials

On degenerate central complete Bell polynomials
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2019Embargo end date: 01 Jan 2019 English Publisher:National Library of SerbiaJournal:Applicable Analysis and Discrete Mathematics, volume 13, pages 805-818 (issn: 1452-8630, eissn: 2406-100X, Copyright policy )
Authors: Kim, Taekyun; Kim, Dae San; Jang, Gwan-Woo;

doi: 10.2298/aadm181103034k , 10.48550/arxiv.1902.08015

arXiv: 1902.08015

On degenerate central complete bell polynomials

Abstract

In this paper, we consider of generalized central complete and incomplete Bell polynomials called degenerate central complete and incomplete Bell polynomials. These polynomials are generalizations of the recently introduced central complete Bell polynomials and `degenerate' analogues for the central complete and incomplete Bell polynomials. We investigate some properties and identities for these polynomials. Especially, we give explicit formulas for the degenerate central complete and incomplete Bell polynomials related to degenerate central factorial numbers of the second kind.

Related Organizations
Keywords

Bell polynomials, Mathematics - Number Theory, Bell and Stirling numbers, Sequences and sets, central complete Bell numbers, central incomplete Bell polynomials, Stirling numbers, Special sequences and polynomials, FOS: Mathematics, Number Theory (math.NT), 11B73, 11B83, central numbers

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Average
Green
gold