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Publications de l'Institut Mathématique.
Article . 2020 . Peer-reviewed
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Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers

Closed formulas for special Bell polynomials by Stirling numbers and associate Stirling numbers
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2020 English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique, volume 108, pages 131-136 (issn: 0350-1302, eissn: 1820-7405, Copyright policy )
Authors: Qi, Feng; Lim, Dongkyu;

doi: 10.2298/pim2022131q

Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers

Abstract

We derive two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of associate Stirling numbers of the second kind, give an explicit formula for associate Stirling numbers of the second kind in terms of the Stirling numbers of the second kind, and, consequently, present two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of the Stirling numbers of the second kind.

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Keywords

closed formula, special value, Bell polynomial of the second kind, Special sequences and polynomials, Bell and Stirling numbers, associate Stirling number of the second kind, Stirling number of the second kind

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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!
3
Average
Average
Average
gold